CHUICHIRO HAYASHI

Japanese Language

Address

Department of Mathematical and Physical Sciences, Faculty of Science,
Japan Women's University,
2-8-1 Mejirodai, Bunkyo-ku, Tokyo 112-8681, Japan
e-mail : hayashic@fc.jwu.ac.jp

Research Area

Geometrical Topology. Knot Theory and 3-Dimensional Manifolds.

Preprints

  1. with Miwa Hayashi
    "Irregular smoothing and the number of Reidemeister moves."
    arXiv:1103.5173 math.GT.
  2. with Miwa Iwakura
    "Q-fundamental surfaces in lens spaces."
    Download pdf file (561KB) (April 1, 2008)
  3. with Sachiko Fujinuma, Reiko Hirano, Yui Hirata and Minako Yogo
    "Calculating fundamental surfaces by hand."
    Download pdf file (263KB) (March 30, 2005)

Publications

  1. witg Tatsuo Ando and Miwa Hayashi
    "Rentangular Seifert circles and arcs system."
    Journal of Knot Theory and its Ramifications 23 No.8, (2014), 1450041-1 -- 1450041-23.
  2. with Tatsuo Ando and Yuki Nishikawa
    "Realizing exterior Cromwell moves on rectangular diagrams by Reidemeister moves."
    Journal of Knot Thoery and its Ramifications 23 No.5, (2014), 1450023-1 -- 1450023-23.
  3. with Sayaka Yamada
    "Unknotting rectangular diagrams of the trivial knot by exchange moves."
    Journal of Knot Theory and its Ramifications 22 No.11, (2013), 1350067-1 -- 1350067-12.
  4. with Miwa Hayashi and Kanako Oshiro
    "On Linear n-colorings for knots."
    Journal of Knot Theory and its Ramifications 21 No.14, (2012), 1250123-1 -- 1250123-13.
  5. "Canonical forms for operation tables of finite connected quandles."
    Communications in Algebra 41 No.9 , (2013), 3340-3349.
  6. with Miwa Hayashi and Tahl Nowik
    "Unknotting number and number of Reidemeister moves needed for unlinking."
    Topology and its Applications 159, (2012), 1467-1474.
  7. with Miwa Hayashi, Minori Sawada and Sayaka Yamada
    "Minimal unknotting sequences of Reidemeister moves containing unmatched RII moves."
    Journal of Knot Theory and its Ramifications 21 No.10, (2012), 1250099-1 -- 1250099-13.
  8. with Miwa Hayashi
    "Minimal sequences of Reidemeister moves on diagrams of torus knots."
    Proceedings of the American Mathematical Society 139 No.7 (2011), 2505-2614.
  9. with Miwa Iwakura
    "Non-orientable fundamental surfaces in lens spaces."
    Topology and its Applications 156 (2009), 1753-1766.
  10. "The number of Reidemeister moves for splitting a link."
    Mathematische Annalen 332 (2005), 239--252.
  11. "A lower bound for the number of Reidemeister moves for unknotting."
    Journal of Knot Theory and its Ramifications Vol.15 No.3 (March 2006), 313--325.
  12. with Hiroko Saeki
    "The number of Vogel operations to deform a link diagram to a closed braid."
    Tokyo Journal of Mathematics 28 (2005), no. 2, 299--307.
  13. with Hiroshi Goda and Hyun-Jong Song
    "Dehn surgeries on 2-bridge links which yield reducible 3-manifold."
    Journal of Knot Theory and its Ramifications Vol.18 No.7 (July 2009), 917-956.
  14. with Hiroshi Goda and Hyun-Jong Song
    "A criterion for satellite 1-genus 1-bridge knots."
    Proc. Amer. Math. Soc. 132 (2004), no. 11, 3449--3456.
  15. "Trivial double-torus knot."
    J. Knot Theory Ramifications 12 (2003), no. 5, 579--588.
  16. with Hiroshi Goda and Nobuo Yoshida
    "Genus two Heegaard splittings of exteriors of knots and the disjoint curve property."
    Kobe J. Math. 18 (2001), no. 1, 79--114.
  17. "1-genus 1-bridge splittings for knots."
    Osaka J. Math. 41 (2004), no. 2, 371--426.
  18. with Mark Brittenham, Mikami Hirasawa, Tsuyoshi Kobayashi and Koya Shimokawa
    "Essential laminations and branched surfaces in the exteriors of links"
    Japanese Journal of Mathematics 31 (2005), no.1, 25--96.
  19. "Stable equivalence of Heegaard splittings of 1-submanifolds in $3$-manifolds."
    Kobe J. Math. 15 (1998), no. 2, 147--156.
  20. with Koya Shimokawa
    "Thin position of a pair (3-manifold, 1-submanifold)."
    Pacific J. Math. 197 (2001), no. 2, 301--324.
  21. with Koya Shimokawa
    "Heegaard splittings of trivial arcs in compression bodies."
    J. Knot Theory Ramifications 10 (2001), no. 1, 71--87.
  22. with Koya Shimokawa
    "Heegaard splittings of the pair of the solid torus and the core loop."
    Rev. Mat. Complut. 14 (2001), no. 2, 479--501.
  23. with Koya Shimokawa
    "Heegaard splittings of the trivial knot."
    J. Knot Theory Ramifications 7 (1998), no. 8, 1073--1085.
  24. with Hiroshi Matsuda and Makoto Ozawa
    "Tangle decompositions of satellite knots."
    Rev. Mat. Complut. 12 (1999), no. 2, 417--437.
  25. "Tangles and tubing operations."
    Topology Appl. 92 (1999), no. 3, 191--199.
  26. "Satellite knots in 1-genus 1-bridge positions."
    Osaka J. Math. 36 (1999), no. 3, 711--729.
  27. "Genus one 1-bridge positions for the trivial knot and cabled knots."
    Math. Proc. Cambridge Philos. Soc. 125 (1999), no. 1, 53--65.
  28. with Koya Shimokawa
    "Symmetric knots satisfy the cabling conjecture."
    Math. Proc. Cambridge Philos. Soc. 123 (1998), no. 3, 501--529.
  29. with Kimihiko Motegi
    "Dehn surgery on knots in solid tori creating essential annuli."
    Trans. Amer. Math. Soc. 349 (1997), no. 12, 4897--4930.
  30. "Dehn surgery and essential annuli."
    Math. Proc. Cambridge Philos. Soc. 120 (1996), no. 1, 127--146.
  31. "On parallelism of more than two strings in tangles."
    Topology Appl. 71 (1996), no. 2, 109--113.
  32. with Kimihiko Motegi
    "Only single twists on unknots can produce composite knots."
    Trans. Amer. Math. Soc. 349 (1997), no. 11, 4465--4479.
  33. "Links with alternating diagrams on closed surfaces of positive genus."
    Math. Proc. Cambridge Philos. Soc. 117 (1995), no. 1, 113--128.
  34. "On parallelism of strings in tangles."
    Topology Appl. 62 (1995), no. 1, 65--76.
  35. with Masaaki Wada
    "Constructing links by plumbing flat annuli."
    J. Knot Theory Ramifications 2 (1993), no. 4, 427--429.
  36. "The finiteness of the number of minimal Seifert surfaces up to homeomorphism."
    Kobe J. Math. 10 (1993), no. 1, 79--105.

Proceedings and Surveys

  1. with Hiroshi Goda
    "A report on Heegaard splittings of exteriors of 1-genus 1-bridge knots."
    On Heegaard splittings and Dehn surgeries of 3-manifolds, and topics related to them (Kyoto, 2001).
    Surikaisekikenkyusho Kokyuroku No. 1229 (2001), 154--160.
  2. "A survey of known results on 1-genus 1-bridge knots."
    On Heegaard splittings and Dehn surgeries of 3-manifolds, and topics related to them (Kyoto, 2001).
    Surikaisekikenkyusho Kokyuroku No. 1229 (2001), 10--18.
  3. with Koya Shimokawa
    "A condition for a graph in the disc to contain the half hemisphere of the dodecahedron
    ---application to Dehn surgery theory."
    Proceedings of the Workshop on Graph Theory and Related Topics (Sendai, 1999).
    Interdiscip. Inform. Sci. 7 (2001), no. 1, 5--16.
  4. with Kimihiko Motegi
    "Kimihiko Applications of graph theory to cut-and-paste arguments"
    [translation of Sugaku 47 (1995), no. 4, 377--393]
    Sugaku Expositions. Sugaku Expositions 11 (1998), no. 2, 123--143.