Publications

　(with K. Shackleton) On the distance between two Seifert surfaces of a knot , Preprint

　Epimorphisms between 2-bridge knot groups from the view point of Markoff maps,　 　　　　　　　　　　　　　　　　　　　　　　　　　　　To appear from the proceedings of the workshop, Intelligence of Low Dimensional Topolgy, held in Hiroshima, 2006., Preprint

　(with T.Ohtsuki and R. Riley) Epimorphisms between 2-bridge link groups , Preprint. (PDF)

　(with H. Akiyoshi, M. Wada, and Y. Yamshita) Punctured torus groups and 2-bridge knot groups , 　　　A revised version will appear from Lecture Notes in Mathematics, Springer-Verlag (PDF)

　(with H. Akiyoshi and H. Miyachi) Variations of McShane's identity for punctured surface groups, Proceedings of the Workshop ''Spaces of Kleinian groups and hyperbolic 3-manifolds'', London Math. Soc., Lecture Note Series 329, 151-185, 2006 (PDF) 　

　with H. Akiyoshi and H. Miyachi) A refinement of McShane's identity for quasifuchsian punctured torus groups, Proceedings of the 2002 Ahlfors-Bers Colloquium III, Contemporary Math. A.M.S. 355, 21-40, 2004 (PDF)

　(with H. Akiyoshi) Comparing two convex hull constructions of cusped hyperbolic manifolds,　 Proceedings of the Workshop ''Kleinian groups and hyperbolic 3-manifolds'', held in Warwick, 2002, London Math. Soc., Lecture Note Series.299, 209-246, 2003 (PDF)

　(with H. Akiyoshi, M. Wada, and Y. Yamshita) Jorgensen's picture of quasifuchsian punctured torus groups,　　 Proceedings of the Workshop ''Kleinian groups and hyperbolic 3-manifolds'', held in Warwick, 2002, London Math. Soc., Lecture Note Series.299, 247-273, 2003 (PDF)

　Surgery description of orientation-preserving periodic maps on compact orientable 3-manifolds, Rend. Istit. Mat. Univ. Trieste 32 (2001), suppl. 1, 375--396 (2002). (PDF)

　(with H. Akiyoshi, M. Wada, and Y. Yamshita) Ford domains of　 punctured torus groups and two-bridge knot groups, In “Knot Theorey”, Proceeding of Workshop held in Toronto dedicated to 70^th birthday of Prof. K. Murasugi, 1999. (PDF)

　with E. Klimenko) Two-generator discrete subgroups of Isom(H²) containing orientation-reversing elements, Geom. Dedicata 72 (1998), 247-282.

　Variations of McShane’s identity for the Riley slice and 2-bridge links, In “Hyperbolic Spaces and Related Topics”, R.I.M.S. Kokyuroku 1104 (1999), 103-108. (PDF)

The topology, geomerty and algebra of unknotting tunnels, The special issue of Chaos, Solitons and Fractals devaoted to knots and their applications (ed. C. Adams) 9 (1998), 739-748.

Murasugi decompositions of certain Seifert surfaces and unknotting operations, Proc. of the 5th Korea-Japan School of knots and links　(ed. G.T. Jin and K.H. Ko) 1997, 233-248.

　(with J. Hillman) Homology of finite abelian coverings, Canadian Math. Bull. 40 (1997) 309-315.

　(with H. Akiyoshi and Y. Nakagawa) Shortest vertical geodesics of manifolds obtained by hyperbolic Dehn surgery on the Whitehead link, Knot 96 (ed. S. Suzuki) 433-448 (1997) World Scientific Publishing Co.

　with M. Hirasawa) Minimal genus Seifert surafecs for alternating links, Knot 96 (ed. S. Suzuki) 383-394 (1997) World Scientific Publishing Co.

(with K. Morimoto and Y. Yokota) Identifying tunnel number one knots, J. Math. Soc., Japan 48 (1996) 667-688.

(with K. Morimoto and Y. Yokota) Examples of tunnel number one knots which have the property ``1+1=3", Math. Proc. Cambridge Phil. Soc. 119 (1996) 113-118.

(with J.Weeks) Examples of canonical decompositions of hyperbolic link complements, Japanese J. Math. 21 (1995) 393-439.

(with J. Weeks) The generalized tilt formula, Geometriae Dedicata 55 (1995) 115-123.

Homology of abelian coverings and spatial graphs, Canadian J. Math. 47 (1995) 201-224.

Minimal genus Seifert surfaces for special arborescent links, Osaka J. Math. 31 (1994) 861-905.

(with K. Kodama) Symmetry groups of prime knots up to 10 crossings, Knot 90 (ed. A. Kawauchi) 324-340 (1992) Walter de Gruyter Co.

A note on Wada's group invariants of links, Proc. Japan Academy 67 (1991) 176-177.

(with K. Morimoto) On unknotting tunnels for knots, Math. Ann. 289 (1991) 143-167.

The geometries of spherical Montesinos links, Kobe J. Math. 7 (1990) 167-190.

(with M. Masuda) Knotting codimension 2 submanifolds locally, L'Enseign. Math. 35 (1989) 21-40.

Realization of the symmetry groups of links, Transformation groups (ed. K. Kawakubo) Lect. Notes in Math. 1375 (1989) 291-306 Springer-Verlag.

An evaluation of the Jones polynomial of a parallel link, Math. Proc. Cambridge Phil. Soc. 104 (1988) 105-113.

Uniqueness of symmetries of knots, Math. Z. 192 (1986) 225-242.

Non-free-periodicity of amphicheiral hyperbolic knots, Homotopy Theory and related topics Adv. Stud. in Math. 9 (1986) Kinokuniya and North-Holland.

On strongly invertible knots, Algebraic and Topological Theories, Proc. Miyata memorial Conf. (1985) Kinokuniya Co. Ltd.

Involutions on torus bundles over $S^1$, Osaka J. Math. 22 (1985) 163-185,

(with F. Hosokawa, A. Kawauchi, and Y. Nakanishi) Note on critical points of surfaces in 4-space, Kobe J. Math. 1 (1984) 151-152.

(with A. Kawauchi and T. Kobayashi) On 3-manifolds with no periodic maps, Japanese J. Math. 10 (1984) 185-193.

(with S. Furusawa) Dehn surgery on symmetric knots, Math. Sem. Notes, Kobe Univ. 11 (1983) 179-198.

(with L. Traldi) Linking numbers and the groups of links, Math. Sem. Notes, Kobe Univ. 11 (1983) 3-16.

On regular coverings of links, Math. Ann. 260 (1982) 303-315.

Periods of composite links, Math. Sem. Notes, Kobe Univ. 9 (1981) 445-452.

On the polynomials of periodic links, Math. Ann. 257 (1981) 487-494.

Surface bundles over $S^1$ which are 2-fold branched cyclic coverings of $S^3$, Math. Sem. Notes, Kobe Univ., 9 (1981) 159-180.

The homology groups of abelian coverings of links, Math. Sem. Notes, Kobe Univ. 7 (1979) 515-530.

　

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