研究者総覧

小林 毅 (コバヤシ ツヨシ)

  • 研究院自然科学系数学領域 教授
  • 附属小学校 附属小学校長
メールアドレス:
tsuyoshicc.nara-wu.ac.jp
Last Updated :2021/10/20

researchmap

学位

  • 理学博士, 大阪大学
  • 理学修士, 大阪大学

研究キーワード

  • 位相的データ解析 三次元多様体論 結び目理論 位相幾何学 Topological data analysis 3-manifild knot Topology 

研究分野

  • 自然科学一般, 幾何学

経歴

  • 2006年 - 2012年 :奈良女子大学大学院人間文化研究科教授
  • 2012年 -:奈良女子大学研究院自然科学系
  • 2012年 -:Division of Natural Sciences
  • 1997年 - 2006年 :奈良女子大学理学部教授
  • 1997年 - 2006年 :Professor, Faculty of Science, Nara Women's University
  • 1993年 - 1997年 :奈良女子大学理学部助教授
  • 1993年 - 1997年 :Associate Professor, Faculty of Science, Nara Women's University
  • 1990年 - 1993年 :大阪大学理学部講師
  • 1990年 - 1993年 :Assistant Professor, Faculty of Science, Osaka University
  • 1986年 - 1989年 :大阪大学理学部助手
  • 1986年 - 1989年 :Research Associate, Faculty of Science, Osaka Univeristy

学歴

  • - 1986年 大阪大学 理学研究科 数学 日本国
  • - 1986年 大阪大学 Graduate School, Division of Natural Science
  • - 1981年 大阪大学 理学部 数学 日本国
  • - 1981年 大阪大学 Faculty of Science

論文

  • SIMILARITY STRUCTURE ON 2-DIMENSIONAL TORUS AND FLAT ORIGAMI

    Pushpa Publishing House, 2019年, JP Jour. of Geometry and Topology, 22 (1), 45 - 63

  • STABLE DOUBLE POINT NUMBERS OF PAIRS OF SPHERICAL CURVES

    Pushpa Publishing House, 2019年, JP Jour. of Geometry and Topology, 22 (2), 129 - 163

  • A distance on the equivalence classes of spherical curves generated by deformations of type RI

    Yukari Funakoshi; Megumi Hashizume; Noboru Ito; Tsuyoshi Kobayashi; Hiroko Murai

    球面曲線全体における初の複体の導入.孤立特異点のうち,カスプと向きのそろった3重点を選び,その局所的な特異点のジャンプによるホモトピー同値類を考え3重点ジャンプの最小回数によって距離を導入, 距離1をedgeに対応させ複体を定義した.この論文以降,距離1の数学的結果がpath-complexをたどることで曲線全体の結果となる,というアプローチが初めて確立された.path complexのpathの長さと上記の距離の一致性を示し評価式を与え具体的な部分複体の決定をした., 2018年10月, J. Knot Theory Ramifications, 27 (12), doi;web_of_science

    研究論文(学術雑誌)

  • The growth rate of the tunnel number of m-small knots

    Tsuyoshi Kobayashi; Yo'Av Rieck

    In a previous paper, we defined the growth rate of the tunnel number of knots, an invariant that measures the asymptotic behavior of the tunnel number under connected sum. In this paper we calculate the growth rate of the tunnel number of m-small knots in terms of their bridge indices., 2018年, Pacific Journal of Mathematics, 295 (1), 57 - 101, doi

    研究論文(学術雑誌)

  • THE SPECTRUM OF THE GROWTH RATE OF THE TUNNEL NUMBER IS INFINITE

    Kenneth L. Baker; Tsuyoshi Kobayashi; Yo'av Rieck

    For any epsilon > 0 we construct a hyperbolic knot K subset of S-3 for which 1 - epsilon < gr(t)(K) < 1. This shows that the spectrum of the growth rate of the tunnel number is infinite., 2016年08月, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 144 (8), 3609 - 3618, doi;web_of_science

    研究論文(学術雑誌)

  • A knot with destabilized bridge spheres of arbitrarily high bridge number

    Yeonhee Jang; Tsuyoshi Kobayashi; Makoto Ozawa; Kazuto Takao

    We show that there exists an infinite family of knots, each of which has, for each integer k >= 0, a destabilized (2k + 5)-bridge sphere. We also show that, for each integer n >= 4, there exists a knot with a destabilized 3-bridge sphere and a destabilized n-bridge sphere., 2016年04月, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 93, 379 - 396, doi;web_of_science

    研究論文(学術雑誌)

  • Bridge splittings of links with distance exactly n

    Ayako Ido; Yeonhee Jang; Tsuyoshi Kobayashi

    We show that, for any integers n >= 2, g >= 0 and b >= 1 except for (g, b) = (0,1) and (0, 2), there exists a (g, b)-bridge splitting of a link in some manifold with distance exactly n. (C) 2015 Elsevier B.V. All rights reserved., 2015年12月, TOPOLOGY AND ITS APPLICATIONS, 196, 608 - 617, doi;web_of_science

    研究論文(学術雑誌)

  • STRONG CYLINDRICALITY AND THE MONODROMY OF BUNDLES

    Kazuhiro Ichihara; Tsuyoshi Kobayashi; YO'Av Rieck

    A surface F in a 3-manifold M is called cylindrical if M cut open along F admits an essential annulus A. If, in addition, (A, partial derivative A) is embedded in (M, F), then we say that F is strongly cylindrical. Let M be a connected 3-manifold that admits a triangulation using t tetrahedra and F a two-sided connected essential closed surface of genus g(F). We show that if g(F) is at least 38t, then F is strongly cylindrical. As a corollary, we give an alternative proof of the assertion that every closed hyperbolic 3-manifold admits only finitely many fibrations over the circle with connected fiber whose translation distance is not one, which was originally proved by Saul Schleimer., 2015年07月, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 143 (7), 3169 - 3176, doi;web_of_science

    研究論文(学術雑誌)

  • Hyperbolic volume and Heegaard distance

    Tsuyoshi Kobayashi; Yo'av Rieck

    We prove (Theorem 1.5) that there exists a constant Lambda > 0 so that if M is a (mu, d)-generic complete hyperbolic 3-manifold of volume Vol(M) < infinity and Sigma subset of M is a Heegaard surface of genus g(Sigma) > Lambda Vol(M), then d(Sigma) <= 2, where d(Sigma) denotes the distance of E as defined by Hempel. The term (mu,d)-generic is described precisely in Definition 1.3; see also Remark 1.4. The key for the proof of Theorem 1.5 is Theorem 1.8 which is of independent interest. There we prove that if M is a compact 3-manifold that can be triangulated using at most t tetrahedra (possibly with missing or truncated vertices), and Sigma is a Heegaard surface for M with g(Sigma) >= 76t + 26, then d(Sigma) <= 2., 2014年03月, COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 22 (2), 247 - 268, doi;web_of_science

    研究論文(学術雑誌)

  • Heegaard splittings of distance exactly n

    Ayako Ido; Yeonhee Jang; Tsuyoshi Kobayashi

    In this paper, we show that, for any integers n >= 2 and g >= 2, there exist genus-g Heegaard splittings of compact 3-manifolds with distance exactly n., 2014年, ALGEBRAIC AND GEOMETRIC TOPOLOGY, 14 (3), 1395 - 1411, doi;web_of_science

    研究論文(学術雑誌)

  • (1,1)-bridge splitting with distance exactly n,

    小林 毅; 井戸絢子; 張娟姫

    2013年, 京都大学数理解析研究所講究録, 1868, 32--37

  • A linear bound on the tetrahedral number of manifolds of bounded volume (after Jorgensen and Thurston)

    Tsuyoshi Kobayashi; Yo'av Rieck

    2011年, TOPOLOGY AND GEOMETRY IN DIMENSION THREE: TRIANGULATIONS, INVARIANTS, AND GEOMETRIC STRUCTURES, 560, 27 - +, web_of_science

    研究論文(国際会議プロシーディングス)

  • Destabilizing Heegaard splittings of knot exteriors

    Tsuyoshi Kobayashi; Toshio Saito

    We give a necessary and sufficient condition for Heegaard splittings of knot exteriors to admit destabilizations. As an application. we show the following: let K-1 and K-2 be a pair of knots which is introduced by Morimoto as an example giving degeneration of tunnel number under connected sum. The Heegaard splitting of the exterior of K-1 # K-2 derived from certain minimal unknotting tunnel systems of K-1 and K-2 is stabilized. (c) 2009 Elsevier B.V. All rights reserved., 2010年01月, TOPOLOGY AND ITS APPLICATIONS, 157 (1), 202 - 212, doi;web_of_science

    研究論文(学術雑誌)

  • A design for pseudo-Anosov braids using hypotrochoid curves

    Tsuyoshi Kobayashi; Saki Umeda

    We make use of hypotrochoid Curves to propose mixing devices with simple mechanism. which gives pseudo-Anosov mixings. We exhibit some experiments to see the efficiency of the device. (c) 2009 Elsevier B.V. All rights reserved,, 2010年01月, TOPOLOGY AND ITS APPLICATIONS, 157 (1), 280 - 289, doi;web_of_science

    研究論文(学術雑誌)

  • Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings

    Tsuyoshi Kobayashi; Yo'av Rieck

    We construct infinitely many manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings. Both closed manifolds and manifolds with boundary tori are constructed., 2009年10月, COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 17 (4), 637 - 649, web_of_science

    研究論文(学術雑誌)

  • Knots with g(E(K))=2 and g(E(K # K # K))=6 and Morimoto's Conjecture

    Tsuyoshi Kobayashi; Yo'av Rieck

    We show that there exist knots K subset of S-3 with g(E(K)) = 2 and g(E(K # K # K)) = 6. Together with [Tsuyoshi Kobayashi, Yo'av Rieck, On the growth rate of the tunnel number of knots, J. Reine Angew. Math. 592 (2006) 63-78, Theorem 1.5], this proves existence of counterexamples to Morimoto's Conjecture [Kanji Morimoto, On the super additivity of tunnel number of knots, Math. Ann. 317 (3) (2000) 489-508]. This is a special case of [Tsuyoshi Kobayashi, Yo'av Rieck, Knot exteriors with additive Heegaard genus and Morimoto's Conjecture, Algebr. Geom. Topol. 8 (2008) 953-969, preprint version available at http://arxiv.org/abs/math.GT/0701765, 2007]. (C) 2008 Published by Elsevier B.V., 2009年03月, TOPOLOGY AND ITS APPLICATIONS, 156 (6), 1114 - 1117, doi;web_of_science

    研究論文(学術雑誌)

  • The amalgamation of high distance Heegaard splittings is always efficient

    Tsuyoshi Kobayashi; Ruifeng Qiu

    Let M be a compact orientable manifold, and F be an essential closed surface which cuts M into two 3-manifolds M (1) and M (2). Let M-i = V-i boolean OR(Si) W-i be a Heegaard splitting for i = 1, 2. We denote by d(S-i) the distance of V-i boolean OR(Si) W-i. If d(S-1), d(S-2) >= 2(g(M-1) + g(M-2) - g(F)), then M has a unique minimal Heegaard splitting up to isotopy, i. e. the amalgamation of V1 boolean OR(S1) W-1 and V-2 boolean OR(S2) W-2., 2008年07月, MATHEMATISCHE ANNALEN, 341 (3), 707 - 715, doi;web_of_science

    研究論文(学術雑誌)

  • Seifert surfaces in open books, and a new coding algorithm for links

    Rei Furihata; Mikami Hirasawa; Tsuyoshi Kobayashi

    We show that for any link L, there exists a Seifert surface for L that is obtained by successively plumbing flat annuli to a disk D, where the gluing regions are all in D. This furnishes a new way of coding links. We also present an algorithm to read the code directly from a braid presentation., 2008年06月, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 40 (3), 405 - 414, doi;web_of_science

    研究論文(学術雑誌)

  • Knot exteriors with additive Heegaard genus and Morimoto's Conjecture

    Tsuyoshi Kobayashi; Yo'av Rieck

    Given integers g >= 2, n >= 1 we prove that there exist a collection of knots, denoted by K(g,n), fulfilling the following two conditions: (1) For any integer 2 <= h <= g, there exist infinitely many knots K is an element of K(g,n) with g(E(K)) = h. (2) For any m <= n, and for any collection of knots K(1),..., K(m) is an element of K(g,n), the Heegaard genus is additive: g(E(#(m)(i=1) K(i))) = Sigma(m)(i=1) g(E(K(i))). This implies the existence of counterexamples to Morimoto's Conjecture [17]., 2008年, ALGEBRAIC AND GEOMETRIC TOPOLOGY, 8 (2), 953 - 969, doi;web_of_science

    研究論文(学術雑誌)

  • Heegaard genus of the connected sum of m-small knots

    Tsuyoshi Kobayashi; Yo'av Rieck

    We prove that if K-1 subset of M-1,..., K-n subset of M-n are m-small knots in closed orientable 3-manifolds, then the Heegaard genus of E(#K-n(i=1)i) is strictly less than the sum of the Heegaard genera of the E (K-i) (i = 1,..., n) if and only if there exists a proper subset I of {1,...,n} so that #K-i is an element of I(i) admits a primitive meridian. This generalizes the main result of Morimoto [On the super additivity of tunnel number of knots, Math. Ann. 317 (2000), 489-508]., 2006年12月, COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 14 (5), 1037 - 1077, web_of_science

    研究論文(学術雑誌)

  • On the growth rate of the tunnel number of knots

    Tsuyoshi Kobayashi; Yo'av Rieck

    Given a knot K in a closed orientable manifold M we define the growth rate of the tunnel number of K to be gr(t) (K) = lim sup(n ->infinity) t(nK) - nt(K)/n - 1.As our main result n we prove that the Heegaard genus of M is strictly less than the Heegaard genus of the knot exterior if and only if the growth rate is less than 1. In particular this shows that a non-trivial knot in S-3 is never asymptotically super additive. The main result gives conditions that imply falsehood of Morimoto's Conjecture., 2006年, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 592, 63 - 78, doi;web_of_science

    研究論文(学術雑誌)

  • Essential laminations and branched surfaces in the exterior of links(共著)

    小林 毅

    2005年, Japanese Journal of Mathematics, 31 (1), 25 - 96, doi

    研究論文(学術雑誌)

  • A search method for a thin position of a link(共著)

    小林 毅; Daniel, Heath

    We give a method for searching for thin positions of a given link., 2005年, Algebr. Geom. Topol., 5, 1027 - 1050, web_of_science

    研究論文(学術雑誌)

  • Separating incompressible surfaces and stabilizations of Heegaard splittings(共著)

    小林 毅

    We describe probably the simplest 3-manifold which contains closed separating incompressible surfaces of arbitrarily large genus. Two applications of this observation are given. (1) For any closed, orientable 3-manifold M and any integer m > 0, a, surgery on a link in M of at most 2m + 1 components will provide a closed, orientable, irreducible 3-manifold containing m disjoint, non-parallel, separating, incompressible surfaces of arbitrarily high genus. (2) There exists a 3-manifold M containing separating imcompressible surfaces S-n of genus g(S-n) arbitrarily large, such that the amalgamation of minimal Heegaard splittings of two resulting 3-manifolds cutting along S-n can be stabilized g(S-n) - 3 times to a minimal Heegaard splitting of M., 2004年11月, Math. Proc. Cambridge Phil. Soc., 137, 633 - 643, doi;web_of_science

    研究論文(学術雑誌)

  • Local detection of strongly irreducible Heegaard splittings via knot exteriors(共著)

    小林 毅

    Let H-1 boolean ORSigma H-2 be a strongly irreducible Heegaard splitting of a 3-manifold M other than S-3, and X a 3-dimensional submanifold of M such that: (1) X is homeomorphic to the exterior of a non-trivial knot in S-3, and (2) there is a compressing disk, say D-X, of partial derivative X such that partial derivative D-X is a meridian curve of X. Suppose that partial derivative X boolean AND Sigma consists of a non-empty collection of simple closed curves which are essential in both partial derivative X and Sigma. Then we show that: (1) the closure of some component of Sigma\ partial derivative X is an annulus and is parallel to an annulus in partial derivative X, and (2) each component of Sigma boolean AND X is a (possibly boundary parallel) meridional annulus. (C) 2003 Elsevier B.V. All rights reserved., 2004年03月, Topology and its Appl., 138 (1-3), 239 - 251, doi;web_of_science

    研究論文(学術雑誌)

  • Scharlemann-Thompson untelescoping of Heegaard splittings is finer than Casson-Gordon's

    T Kobayashi

    We show that there exist infinitely many 3-manifolds M, each of which admits a genus 4 Heegaard splitting V boolean ORP W such that there is a Scharlemann-Thompson untelescoping of V boolean ORP W which decomposes M into three pieces, and that any Casson-Gordon untelescoping of V boolean ORP W decomposes M into exactly two pieces., 2003年11月, JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 12 (7), 877 - 891, doi;web_of_science

    研究論文(学術雑誌)

  • Locally Thin Position for a Link(共著)

    小林 毅

    2003年, Kobe J. Math., 20, 1 - 10

  • Heegaard splittings of exteriors of two bridge knots

    Tsuyoshi Kobayashi

    In this paper, we show that, for each non-trivial two bridge knot K and for each g >= 3, every genus g Heegaard splitting of the exterior E(K) of K is reducible., 2001年, GEOMETRY & TOPOLOGY, 5, 609 - 650, web_of_science

    研究論文(学術雑誌)

  • Pre-taut sutured manifolds and essential laminations(共著)

    小林 毅

    2001年12月, Osaka J. Math., 38 (4), 905 - 922, web_of_science

    研究論文(学術雑誌)

  • Rubinstein-Scharlemann graphic of 3-manifold as the discriminant set of a stable map(共著)

    小林 毅

    We show that Rubinstein-Scharlemann graphics for 3-manifolds can be regarded as the images of the singular sets (: discriminant set) of stable maps from the 3-manifolds into the plane. As applications of our understanding of the graphic, we give a method for describing Heegaard surfaces in 3-manifolds by using arcs in the plane, and give an orbifold version of Rubinstein-Scharlemann's setting. Then by using this setting, we show that every genus one 1-bridge position of a nontrivial two bridge knot is obtained from a 2-bridge position in a standard manner., 2000年09月, Pacific Journal of Mathematics, 195 (1), 101 - 156, web_of_science

    研究論文(学術雑誌)

  • Classification of unknotting tunnels for two bridge knots

    小林 毅

    1999年, Geometry and Topology Monographs, 2, 259 - 290

  • Essential tangle decomposition from thin position of a link(共著)

    小林 毅

    In this paper, we develop the idea of Thompson which treats the relationship between bridge position, incompressible meridianal planar surfaces, and thin position. We show that for a link in thin position there exits a canonical depth 1 nested tangle decomposition with incompressible a-spheres arising from the thin position (Proposition 3.7), and we show that there is a maximal essential tangle decomposition of the link that is closely related to the thin position (Theorem 4.3)., 1997年05月, Pacific Journal of Mathematics, 179 (1), 101 - 117, web_of_science

    研究論文(学術雑誌)

  • On canonical genus and free genus of knot(共著)

    小林 毅

    We show that the differences between canonical genus and free genus, and differences between free genus and usual genus of a knot can be arbitrarily large., 1996年02月, Journal of knot theory and its ramification, 5 (1), 77 - 85, web_of_science

    研究論文(学術雑誌)

  • Example of hyperbolic knot which do not admit depth 1 foliation

    小林 毅

    1996年, Kobe Journal of Mathematics, 13, 209 - 221

  • A necessary and sufficient condition for a 3-manifold to have genus g Heagaard splitting (A proof of Hass-Thompson conjecture)(共著)

    小林 毅

    1994年03月, Osaka Journal of Mathematics, 31 (1), 109 - 136, web_of_science

    研究論文(学術雑誌)

  • A construction of arbitrarily high degeneration of tunnel numbers of knots under connected sum

    小林 毅

    1994年, Journal of knot theory and its ramification, 3, 179 - 186

  • Knots which are prime on band connected sum

    小林 毅

    1994年, Proc. Applied Math. Workshop KAIST, 4, 79 - 89

  • A CONSTRUCTION OF 3-MANIFOLDS WHOSE HOMEOMORPHISM CLASSES OF HEEGAARD-SPLITTINGS HAVE POLYNOMIAL-GROWTH

    T KOBAYASHI

    1992年12月, OSAKA JOURNAL OF MATHEMATICS, 29 (4), 653 - 674, web_of_science

    研究論文(学術雑誌)

  • Fibered links which are band connected sum of two links

    小林 毅

    1992年, Knots 90, 9 - 23

  • A CRITERION FOR DETECTING INEQUIVALENT TUNNELS FOR A KNOT

    T KOBAYASHI

    1990年05月, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 107, 483 - 491, web_of_science

    研究論文(学術雑誌)

  • FIBERED LINKS AND UNKNOTTING OPERATIONS

    T KOBAYASHI

    1989年12月, OSAKA JOURNAL OF MATHEMATICS, 26 (4), 699 - 742, web_of_science

    研究論文(学術雑誌)

  • UNIQUENESS OF MINIMAL GENUS SEIFERT SURFACES FOR LINKS

    T KOBAYASHI

    1989年11月, TOPOLOGY AND ITS APPLICATIONS, 33 (3), 265 - 279, web_of_science

    研究論文(学術雑誌)

  • GENERALIZED UNKNOTTING OPERATIONS AND TANGLE DECOMPOSITIONS

    T KOBAYASHI

    1989年02月, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 105 (2), 471 - 478, web_of_science

    研究論文(学術雑誌)

  • Minimal genus Seifert surfaces for unknotting number 1 knots

    小林 毅

    1989年, Kobe J. Math., 6, 53 - 62

  • CASSON-GORDON RECTANGLE CONDITION OF HEEGAARD DIAGRAMS AND INCOMPRESSIBLE TORI IN 3-MANIFOLDS

    T KOBAYASHI

    1988年09月, OSAKA JOURNAL OF MATHEMATICS, 25 (3), 553 - 573, web_of_science

    研究論文(学術雑誌)

  • Heights of simple loops and pseudo-Anosov homeomorphisms

    小林 毅

    1988年, Contemporary math., 78, 327 - 338

  • Cyclotomic invariants for links(共著)

    小林 毅

    1988年09月, Proc. Japan Acad., 64 (7), 235 - 238, web_of_science

    研究論文(学術雑誌)

  • PSEUDO-ANOSOV HOMEOMORPHISMS WHICH EXTEND TO ORIENTATION REVERSING HOMEOMORPHISMS OF S3

    T KOBAYASHI

    1987年12月, OSAKA JOURNAL OF MATHEMATICS, 24 (4), 739 - 743, web_of_science

    研究論文(学術雑誌)

  • STRUCTURES OF FULL HAKEN MANIFOLDS

    T KOBAYASHI

    1987年03月, OSAKA JOURNAL OF MATHEMATICS, 24 (1), 173 - 215, web_of_science

    研究論文(学術雑誌)

  • HOMEOMORPHISMS OF 3-MANIFOLDS AND TOPOLOGICAL-ENTROPY

    T KOBAYASHI

    1985年, OSAKA JOURNAL OF MATHEMATICS, 22 (2), 289 - 297, web_of_science

    研究論文(学術雑誌)

  • LINKS OF HOMEOMORPHISMS OF A DISK AND TOPOLOGICAL-ENTROPY

    T KOBAYASHI

    1985年, INVENTIONES MATHEMATICAE, 80 (1), 153 - 159, web_of_science

    研究論文(学術雑誌)

  • PRIMITIVE LINKS OF NON-SINGULAR MORSE-SMALE FLOWS ON THE SPECIAL SEIFERT FIBERED MANIFOLDS

    T KOBAYASHI

    1985年, TOPOLOGY AND ITS APPLICATIONS, 20 (1), 67 - 78, web_of_science

    研究論文(学術雑誌)

  • On 3-manifolds with no periodic maps(共著)

    小林 毅

    1984年, Japan J. Math., 10, 185--193

  • NON-SEPARATING INCOMPRESSIBLE TORI IN 3-MANIFOLDS

    T KOBAYASHI

    1984年, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 36 (1), 11 - 22, web_of_science

    研究論文(学術雑誌)

  • 3-MANIFOLDS WHICH CONTAIN NONPARALLEL PROJECTIVE-PLANES

    T KOBAYASHI

    1984年, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 91 (2), 314 - 318, web_of_science

    研究論文(学術雑誌)

  • LINKS OF HOMEOMORPHISMS OF SURFACES AND TOPOLOGICAL-ENTROPY

    T KOBAYASHI

    1984年, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 60 (10), 381 - 383, web_of_science

    研究論文(学術雑誌)

  • STRUCTURES OF THE HAKEN MANIFOLDS WITH HEEGAARD-SPLITTINGS OF GENUS-2

    T KOBAYASHI

    1984年, OSAKA JOURNAL OF MATHEMATICS, 21 (2), 437 - 455, web_of_science

    研究論文(学術雑誌)

  • EQUIVARIANT ANNULUS THEOREM FOR 3-MANIFOLDS

    T KOBAYASHI

    1983年, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 59 (8), 403 - 406, web_of_science

    研究論文(学術雑誌)

  • On keen Heegaard splittings

    Ayako Ido; Yeonhee Jang; Tsuyoshi Kobayashi

    2018年10月, Adv. Stud. Pure Math., 78, 293 - 311

MISC

  • Extending geodesics in the curve complex

    Jang Yeonhee; Ayako Ido; Tsuyoshi Kobayashi

    2013年, RIMS kokyuroku, 1836, 1 - 6

書籍等出版物

  • Realizing pseudo-Anosov egg beaters with simple mechanisms

    In:Proceedings of the International Workshop on Knot Theory for Scientific Objects held in Osaka(Japan), March 8-10, Osaka Municipal Universities Press, 2007年

  • Realizing pseudo-Anosov egg beaters with simple mechanisms

    In:Proceedings of the International Workshop on Knot Theory for Scientific Objects held in Osaka(Japan), March 8-10, Osaka Municipal Universities Press, 2007年

  • Links of embeddings of surfaces and topological entropy

    In: The theory of dynamical systems and its applications to nonlinear problems (1984), World Sci. Publ. Co. Ltd., 1984年

  • Links of embeddings of surfaces and topological entropy

    In: The theory of dynamical systems and its applications to nonlinear problems (1984), World Sci. Publ. Co. Ltd., 1984年

講演・口頭発表等

  • A construction of flat-foldable origami via similarity structure of 2-dimensional torus

    小林毅,村井紘子

    Mathematics of quasiperiodic systems and related topics, 2020年11月09日, 2020年11月09日

    口頭発表(招待・特別)

  • 折り紙に現れる幾つかの数学構造について

    トポロジーとコンピュータ, 2017年

    口頭発表(招待・特別)

  • Complexes induced from spherical curves and distances

    結び目の数学X, 2017年

  • 折り紙の数学入門

    Knotting Nagoya, 2016年

  • A construction of flat-foldable origami via similarity structure

    Low dimensional topology and number theory VII, 2015年

  • A construction of flat-foldable origami via similarity structure

    Low dimensional topology and number theory VII, 2015年

  • On keen Heegaard splitting

    Topology and Geometry of Low-dimensional Manifolds, 2014年

  • On keen Heegaard splitting

    Topology and Geometry of Low-dimensional Manifolds, 2014年

  • 2次元トーラスの相似構造を用いた一般化されたミウラ折りの構成

    Spring Workshop 2013 on Low-Dimensional Topology and its Ramifications, 2013年

  • Heegaard splittings of distance $n$(joint work with Ayako Ido and Yeonhee Jang)

    位相数学・微分幾何学国際会議 兼第6回日本―メキシコ位相数学合同シンポジウム(同時開催), 2013年

  • A construction of generaliza Mirura folding via similarity structure on 2-dimensional torus

    Spring Workshop 2013 on Low-Dimensional Topology and its Ramifications, 2013年

  • Heegaard splittings of distance $n$(joint work with Ayako Ido and Yeonhee Jang)

    International Conference on Topology and Geometry 2013 Joint with the 6th Japan-Mexico Topology Symposium, 2013年

  • Heegaard splitting with distance exactly n for each non-negative integer n

    日大トポロジーセミナー, 2012年

  • On the growth rate of tunnel numbers of knots

    Workshop on Low Dimensional Topology in Shanghai and Suzhou, 2011年

  • On the growth rate of tunnel numbers of knots

    Workshop on Low Dimensional Topology in Shanghai and Suzhou, 2011年

  • Toward Haken type theorems for essential laminations in 3-manifolds: Proposal of fundamental settings and applications

    E-KOOKセミナー2010, 2010年

  • Realization problems of distances of Heegaard splittings

    Simplicial Complexes Arising in Low-Dimensional Topology, 2009年

  • On thin presentations of 3-manifolds and links

    Category Theory, Computer Science, and Topology, 2009年

所属学協会

  • アメリカ数学会

  • American Mathematical Society



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