Publications - Tsuyoshi KOBAYASHI

  1. Equivariant annulus theorem for 3-manifolds, Proc. Japan Acad. 59(1983), pp. 403--406.
  2. 3-manifolds which contain non-parallel projective planes, Proc. Amer. Math. Soc. 91(1984), pp. 314--318.
  3. Non-separating incompressible tori in 3-manifolds, J. Math. Soc. Japan 36(1984), pp. 11--22.
  4. Structures of the Haken manifolds with Heegaard splittings of genus two, Osaka J. Math. 21(1984), pp. 437--455.
  5. (With A. Kawauchi, and M. Sakuma) On 3-manifolds with no periodic maps, Japan J. Math. 10(1984), pp.185--193.
  6. Links of homeomorphisms of surfaces and topological entropy, Proc. Japan Acad. 60(1984), pp.381--383.
  7. 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., pp.42--49.
  8. Links of homeomorphisms of a disk and topological entropy, Invent. Math. 80(1985), pp.153--159.
  9. Primitive links of non-singular Morse-Smale flows on special Seifert fibered spaces, Topology and its Appl. 20(1985), pp.67--78.
  10. Homeomorphisms of 3-manifolds and topological entropy, Osaka J. Math. 22(1985), pp.289--297.
  11. Pseudo-Anosov homeomorphisms which extend to orientation reversing homeomorphisms of $S^3$, Osaka J. Math. 24(1987), pp.739--743.
  12. Structures of full Haken manifolds, Osaka J. Math. 24(1987), pp.173--215.
  13. Casson-Gordon's rectangle condition of Heegaard diagrams and incompressible tori in 3-manifolds, Osaka J. Math. 25(1988), pp.553--573.
  14. (With H. Murakami, and J. Murakami) Cyclotomic invariants for links, Proc. Japan Acad. Ser. A 64(1988), pp.235--238
  15. Heights of simple loops and pseudo-Anosov homeomorphisms, Contemp. Math. 78(1988), pp.327--338.
  16. Uniqueness of minimal genus Seifert surfaces for links, Topology and its Appl. 33(1989), pp.265--279.
  17. Generalized unknotting operations and tangle decompositions, Proc. Amer. Math. Soc. 105(1989), pp.471--478.
  18. Minimal genus Seifert surfaces for unknotting number 1 knots, Kobe J. Math. 6(1989), pp.53--62.
  19. Fibered links and unknotting operations, Osaka J. Math. 26(1989), pp.699--742.
  20. A criterion for detecting inequivalent tunnels for a knot, Math. Proc. Camb. Phil. Soc. 107(1990), pp.483--491.
  21. A construction of 3-manifolds whose homeomorphism classes of Heegaard splittings have polynomial growth, Osaka J. Math. 29(1992), pp.653--674.
  22. Fibered links which are band connected sum of two links, In:Knots 90,Walter de Gruyter (1992).
  23. (With H. Nishi) A necessary and sufficient condition for a 3-manifold to have genus $g$ Heegaard splitting (A proof of Hass-Thompson conjecture), Osaka J. Math. 31(1994), pp.109--136.
  24. A construction of arbitrarily high degeneration of tunnel numbers of knots under connected sum, Jour. of Knot theory and its ramification 3(1994), pp.179--186.
  25. Knots which are prime on band connected sum, In: Proc. Applied Math. Workshop KAIST 4(1994), pp.79--89.
  26. (With M. Kobayashi) On canonical genus and free genus of knot, Jour. of Knot theory and its ramification 5(1996), pp.77--85.
  27. Example of hyperbolic knot which do not admit depth 1 foliation, Kobe J. Math. 13(1996), pp.209--221.
  28. (With D. Heath) Essential tangle decomposition from thin position of a link, Pacific. J. Math. 179(1997), pp.101--117
  29. (With O. Saeki) Rubinstein-Scharlemann graphic of 3-manifold as the discriminant set of a stable map, Pacific. J. Math. 195(2000), pp.101--156
  30. Classification of unknotting tunnels for two bridge knots, Proceedings of the1998 Kirbyfest, Geometry and Topology Monographs 2 (1999), 259-290.
  31. (with Mikami Hirasawa) Pre-taut sutured manifolds and essential laminations, . Osaka J. Math. 38 (2001), no. 4, 905--922
  32. Heegaard splittings of exteriors of two bridge knots, Geometry and Topology, Vol. 5 (2001) Paper no. 20, pages 609--650.
  33. Scharlemann-Thompson untelescoping of Heegaard splittings is finer than Casson-Gordon's, Jour. of Knot theory and its ramification 12(2003), pp.877--891.
  34. (With D. Heath) Locally thin position for a link, Kobe J. Math. 20(2003), pp. 1--10.
  35. (with Yo'av Rieck) Local detection of strongly irreducible Heegaard splittings via knot exteriors, Topology and its Appl. 138(2004), pp.239--251.
  36. (with Ruifeng Qiu, Yo'av Rieck, and Shicheng Wang ) , Separating incompressible surfaces and stabilizations of Heegaard splittings Math. Proc. Cambridge Phil. Soc. 137(2004), pp.633--643.
  37. (with Mark Brittenham, Chuichiro Hayashi, Mikami Hirasawa, and Koya Shimokawa) Essential laminations and branched surfaces in the exteriors of links, Japanese J. Math. 31(2005), 25--96.
  38. (With D. Heath) A search method for a thin position of a link, Algebr. Geom. Topol. 5 (2005), pp.1027-1050
  39. (with Yo'av Rieck) On the growth rate of tunnel number of knots, Journal fur die Reine und Ang. Math. 592(2006), 63--78.
  40. (with Yo'av Rieck) Heegaard genus of the connected sum of m-small knots, Communications in Analysis and Geometry 14(2006), pp.1037--1077.
  41. (with Saki Umeda) Realizing pseudo-Anosov egg beaters with simple mechanisms, Proceedings of the International Workshop on Knot Theory for Scientific Objects held in Osaka(Japan), March 8-10, 2007, 97-109, Osaka Municipal Universities Press.
  42. (with Rei Furihata, and Mikami Hirasawa) Seifert surfaces in open books, and a new coding algorithm for links , Bull. Lond. Math. Soc. 40 (2008), no. 3, 405--414.
  43. (with Qiu, Ruifeng) The amalgamation of high distance Heegaard splittings is always efficient, Math. Ann. 341 (2008), no. 3, 707--715.
  44. (with Yo'av Rieck) Knot exteriors with additive Heegaard genus and Morimoto's Conjecture, Algebraic & Geometric Topology, 8 (2008), 953--969.
  45. (with Yo'av Rieck) Knots with $g(E(K)) = 2$ and $g(E(K \# K \# K)) = 6$ and Morimoto's Conjecture, Topology and its Appl. 156(2009), pp.1114--1117.
  46. (with Yo'av Rieck) Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings, Communications in Analysis and Geometry 17(2009), pp.637--649.
  47. (with Toshio Saito) Destabilizing Heegaard splittings of knot exteriors, Topology and its Appl. 157(2010), pp.202--212.
  48. (with Saki Umeda) A design for pseudo-Anosov braids using hypotrochoid curves, Topology and its Appl. 157(2010), pp.280--289.
  49. (with Yo'av Rieck) A linear bound on the tetrahedral number of manifolds of bounded volume (after Jorgensen and Thurston), Contemporary MathematicsVol. 560(2011), pp.27--42.


  1. 絡み目理論の新しい不変量 --作用素環に由来する Jones 多項式とその一般化--, 数学 38(1986), 1--14頁.
  2. 低次元トポロジーの現在 --3次元多様体論を中心に--, 数学セミナー 1992年4月号, 43--47頁.
  3. 結び目理論入門, 数学セミナー 1993年5月号, 60--64頁.
  4. 三次元多様体論 --サーストンが駆け抜けた20年--, 数学セミナー 1997年5月号.
  5. ひらめき☆ときめきサイエンス 数学で空間の中の流れを感じてみよう, 数学セミナー 2007年7月号.
  6. 数学版サイエンスカフェ活動、カフェマテマチカについて, 数学通信第14巻(2009年)52--56.

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