My papers
Refereed Papers Appeared in Journals

The Arf invariant and the Conway polynomial of a link,
Math. Sem. Notes, Kobe Univ. 11 (1983), 335344.

(with A. Kawauchi and K. Sugishita) On the Tgenus of knot cobordisms,
Proc. Japan Acad., Ser. A 59 (1983), 9193.

(with K. Sugishita) Triple points and knot cobordisms,
Kobe J. Math. 1 (1984), 116.

On the Conway polynomial of a knot with Tgenus one,
Kobe J. Math. 2 (1985), 117121.

Some metrics on classical knots,
Math. Ann. 270 (1985), 3545.

A recursive calculation of the Arf invariant of a link,
J. Math. Soc. Japan 38 (1986), 335338.

On derivatives of the Jones polynomial,
Kobe J. Math. 3 (1986), 6164.

(with T. Kanenobu) Twobridge knots with unknotting number one,
Proc. Amer. Math. Soc. 98 (1986), 499502.

A formula for the twovariable link polynomial,
Topology 26 (1987), 409412.

(with T. Kobayashi and J. Murakami) Cyclotomic invariants for links,
Proc. Japan Acad., Ser. A 64 (1988), 235238.

(with Y. Nakanishi) On a certain move generating linkhomology,
Math. Ann. 284 (1989), 7589.

Algebraic unknotting operation, Questions and Answers Gen. Topology
8 (1990), 283292.

(with T. Ohtsuki and M. Okada) Invariants of threemanifolds derived
from linking matrices of framed links,
Osaka J. Math. 29 (1992), 545572.

Deltaunknotting number and the Conway polynomial,
Kobe J. Math. 10 (1993), 1722.

(with S. Sakai) Sharpunknotting number and the Alexander module,
Topology Appl. 52 (1993), 169179.

Quantum SU(2)invariants dominate Casson's SU(2)invariant,
Math. Proc. Cambridge Phil. Soc. 115 (1994), 253281.

(with A. Yasuhara) Crosscap number of a knot, Pacific J. Math. 171
(1995), 261273.

Quantum SO(3)invariants dominate the SU(2)invariant of Casson and
Walker,
Math. Proc. Cambridge Phil. Soc. 117 (1995), 237249.

(with T.Q.T. Le, J. Murakami, and T. Ohtsuki) A threemanifold invariant
derived from the universal VassilievKontsevich invariant,
Proc. Japan Acad., Ser. A 71 (1995), 125127.

Vassiliev invariants of type two for a link,
Proc. Amer. Math. Soc. 124 (1996), 38893896.

(with T. Ohtsuki) Quantum Sp(n) invariant of links via an invariant
of colored planar graphs,
Kobe J. Math. 13 (1996), 191202.

(with T. Ohtsuki and S. Yamada)
HOMFLY polynomial via an invariant of colored plane graphs,
Enseignement Math. 44 (1998), 325360.

A weight system derived from the multivariable Conway potential function,
J. London Math. Soc. (2) 59 (1999), 698714.

(with T.Q.T. Le, J. Murakami, and T. Ohtsuki)
A threemanifold invariant via the Kontsevich integral,
Osaka J. Math. 36 (2) (1999), 365396.

Hyperbolic threemanifolds with trivial finite type invariants,
Kobe J. Math. 16 (1999), 183187.

(with A. Yasuhara)
Fourgenus and fourdimensional clasp number of a knot,
Proc. Amer. Math. Soc. 128 (2000), 36933699.

(with S. Chmutov and V. Goryunov) Regular Legendrian knots and the HOMFLY
polynomial of immersed plane curves,
Math. Ann. 317 (2000), 389413.

(with T. Ohtsuki)
Finite type invariants of knots via their Seifert matrices,
Asian J. Math. 5 (2001), 239386.

(with J. Murakami)
The colored Jones polynomials and the simplicial volume of a knot,
Acta Math. 186 (2001), 85104.

(with J. Murakami, M. Okamoto, T. Takata, and Y. Yokota)
Kashaev's conjecture and the ChernSimons invariants of knots and links,
Experiment. Math. 11 (2002), 427435.

Asymptotic behaviors of the colored Jones polynomials of a torus knot,
Internat. J. Math. 15 (2004), 547555.

Some limits of the colored Jones polynomials of the figureeight knot,
Kyungpook Math. J. 44 (2004), 369383.

The colored Jones polynomials of the figureeight knot and the volumes of threemanifolds obtained by Dehn surgeries,
Fund. Math. 184 (2004), 269289.

(with Y. Yokota)
The colored Jones polynomials of the figureeight knot and its Dehn surgery spaces,
to appear in J. Reine Angew. Math.

A version of the volume conjecture,
to appear in Adv. Math.
Other Papers

Quantum invariants for 3manifolds,
in : Proc. Appl. Math. Workshops, 4,
The 3rd KoreaJapan School of Knots and Links, (1994)
(eds. K.H. Ko and G.T. Jin), 129143.

(with T. Ohtsuki) Quantum Sp(2) invariants of threemanifolds at eighth
and tenth roots of unity,
in Geometry and Physics, Lect. Notes in Pure and Appl. Math. 184,
(eds: J.E. Andersen, J. Dupont, H. Pedersen, and A. Swann),
Proceedings of the conference at Aarhus Univ, Aarhus, Denmark, 1995,
Marcel Dekker, inc., 1997, pp. 429443.

Calculation of the CassonWalkerLescop invariant from chord diagrams,
in: Knot Theory, Banach Center Publications, Vol. 42,
(eds: V.F.R. Jones, J. KaniaBartoszynska, J.H. Przytycki, P. Traczyk and
V.G. Turaev),
Proceedings of the conference at the International Stefan Banach
Mathematical Center, Warsaw, Poland, 1995,
Polish Academy of Sciences, 1998, pp. 235246.

On the CassonWalkerLescop invariant for 3manifolds,
Mem. School Sci. Engrg. Waseda Univ. 60 (1996), 135145.

Quantum SU(2)invariants of threemanifolds associated with the trivial first
cohomology class modulo two,
in: Low Dimensional Topology,
(ed: H. Nencka),
Proceedings of a Conference on Low Dimensional Topology, Funchal, Madeira,
Portugal, January 1217, 1998,
Contemporary Mathematics, Vol. 233, 1999, pp. 117136.

Quantum SU(2)invariants for threemanifolds associated with nontrivial cohomology
classes modulo two,
in: Knots in Hellas '98,
Proceedings of the International Conference on Knot Theory and its Ramifications,
Series of Knots and Everything, Vol. 24, 2000,
pp. 347352.

The asymptotic behavior of the colored Jones function of a knot
and its volume,
in: Proceedings of Art of Low Dimensional Topology VI,
edited by T. Kohno,
January, 2000.

Kashaev's invariants and the volume of a hyperbolic knot after Y. Yokota,
in: PHYSICS AND COMBINATORICS,
Proceedings of the Nagoya 1999 International Workshop,
Nagoya University, Japan 23  27 August 1999,
edited by A.N. Kirillov, A. Tsuchiya and H. Umemura,
World Scientific, 2001, pp. 244272.

Optimistic calculations about the WittenReshetikhinTuraev invariants
of closed threemanifolds obtained from the figureeight knot by integral
Dehn surgeries,
in: Recent Progress towards the volume conjecture,
Surikaisekikenkyusho Kokyuroku 1172,
2000,
pp. 7079.

Mahler measure of the colored Jones polynomial and the volume conjecture,
in: Volume Conjecture and Its Related Topics,
Surikaisekikenkyusho Kokyuroku 1279,
2002,
pp. 8699.

A quantum introduction to knot theory,
to appear in JAMI Proceedings ``Primes and Knots'', Contemp. Math.

Various generalizations of the Volume Conjecture,
to appear in `ANALYSIS AND GEOMETRY IN THEIR INTERACTION',
Contemp. Math.

The colored Jones polynomials and the Alexander polynomial of the figureeight knot,
preprint, 2005.

(with S. Gukov)
SL(2,C) ChernSimons theory and the asymptotic behavior of the colored Jones polynomial,
preprint, 2006.
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