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.

夝愢婰帠摍

  1. 棈傒栚棟榑偺怴偟偄晄曄検 --嶌梡慺娐偵桼棃偡傞 Jones 懡崁幃偲偦偺堦斒壔--, 悢妛 38(1986), 1--14暸.
  2. 掅師尦僩億儘僕乕偺尰嵼 --俁師尦懡條懱榑傪拞怱偵--, 悢妛僙儈僫乕 1992擭4寧崋, 43--47暸.
  3. 寢傃栚棟榑擖栧, 悢妛僙儈僫乕 1993擭5寧崋, 60--64暸.
  4. 嶰師尦懡條懱榑 --僒乕僗僩儞偑嬱偗敳偗偨20擭--, 悢妛僙儈僫乕 1997擭5寧崋.
  5. 傂傜傔偒仚偲偒傔偒僒僀僄儞僗丂悢妛偱嬻娫偺拞偺棳傟傪姶偠偰傒傛偆, 悢妛僙儈僫乕 2007擭7寧崋.
  6. 悢妛斉僒僀僄儞僗僇僼僃妶摦丄僇僼僃儅僥儅僠僇偵偮偄偰, 悢妛捠怣戞14姫(2009擭)52--56.

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