Refereed Papers Appeared in Journals
The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a twice-iterated torus knot,
Acta Math. Vietnam. 39 (2014), 649-710.
The coloured Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of the figure-eight knot,
J. Topol. 6 (2013), 193-216.
An introduction to the volume conjecture and its generalizations,
Acta Math. Vietnam. 33 (2008), 219-253.
(with K. Hikami)
Colored Jones polynomials with polynomial growth,
Commun. Contemp. Math. 10 (2008), suppl. 1, 815-834.
(with S. Gukov)
SL(2,C) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial,
Fields Inst. Commun., 54 (2008), 261-277.
A version of the volume conjecture,
Adv. Math. 211 (2007), 678-683.
The colored Jones polynomials and the Alexander polynomial of the figure-eight knot,
JP J. Geom. Topol. 2 (2007), 249-269.
(with Y. Yokota)
The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces,
J. Reine Angew. Math. 607 (2007), 47-68.
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries,
Fund. Math. 184 (2004), 269-289.
Some limits of the colored Jones polynomials of the figure-eight knot,
Kyungpook Math. J. 44 (2004), 369-383.
Asymptotic behaviors of the colored Jones polynomials of a torus knot,
Internat. J. Math. 15 (2004), 547-555.
(with J. Murakami, M. Okamoto, T. Takata, and Y. Yokota)
Kashaev's conjecture and the Chern--Simons invariants of knots and links,
Experiment. Math. 11 (2002), 427-435.
(with J. Murakami)
The colored Jones polynomials and the simplicial volume of a knot,
Acta Math. 186 (2001), 85-104.
(with T. Ohtsuki)
Finite type invariants of knots via their Seifert matrices,
Asian J. Math. 5 (2001), 239-386.
- (with S. Chmutov and V. Goryunov)
Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves,
Math. Ann. 317 (2000), 389-413.
(with A. Yasuhara)
Four-genus and four-dimensional clasp number of a knot,
Proc. Amer. Math. Soc. 128 (2000), 3693-3699.
Hyperbolic three-manifolds with trivial finite type invariants,
Kobe J. Math. 16 (1999), 183-187.
(with T.Q.T. Le, J. Murakami, and T. Ohtsuki)
A three-manifold invariant via the Kontsevich integral,
Osaka J. Math. 36 (2) (1999), 365-396.
A weight system derived from the multivariable Conway potential function,
J. London Math. Soc. (2) 59 (1999), 698-714.
(with T. Ohtsuki and S. Yamada)
HOMFLY polynomial via an invariant of colored plane graphs,
Enseignement Math. 44 (1998), 325-360.
(with T. Ohtsuki) Quantum Sp(n) invariant of links via an invariant
of colored planar graphs,
Kobe J. Math. 13 (1996), 191-202.
Vassiliev invariants of type two for a link,
Proc. Amer. Math. Soc. 124 (1996), 3889-3896.
(with T.Q.T. Le, J. Murakami, and T. Ohtsuki) A three-manifold invariant
derived from the universal Vassiliev-Kontsevich invariant,
Proc. Japan Acad., Ser. A 71 (1995), 125-127.
Quantum SO(3)-invariants dominate the SU(2)-invariant of Casson and
Math. Proc. Cambridge Phil. Soc. 117 (1995), 237-249.
(with A. Yasuhara) Crosscap number of a knot, Pacific J. Math. 171
Quantum SU(2)-invariants dominate Casson's SU(2)-invariant,
Math. Proc. Cambridge Phil. Soc. 115 (1994), 253-281.
(with S. Sakai) Sharp-unknotting number and the Alexander module,
Topology Appl. 52 (1993), 169-179.
Delta-unknotting number and the Conway polynomial,
Kobe J. Math. 10 (1993), 17-22.
(with T. Ohtsuki and M. Okada) Invariants of three-manifolds derived
from linking matrices of framed links,
Osaka J. Math. 29 (1992), 545-572.
Algebraic unknotting operation, Questions and Answers Gen. Topology
8 (1990), 283-292.
(with Y. Nakanishi) On a certain move generating link-homology,
Math. Ann. 284 (1989), 75-89.
(with T. Kobayashi and J. Murakami) Cyclotomic invariants for links,
Proc. Japan Acad., Ser. A 64 (1988), 235-238.
A formula for the two-variable link polynomial,
Topology 26 (1987), 409-412.
(with T. Kanenobu) Two-bridge knots with unknotting number one,
Proc. Amer. Math. Soc. 98 (1986), 499-502.
On derivatives of the Jones polynomial,
Kobe J. Math. 3 (1986), 61-64.
A recursive calculation of the Arf invariant of a link,
J. Math. Soc. Japan 38 (1986), 335-338.
Some metrics on classical knots,
Math. Ann. 270 (1985), 35-45.
On the Conway polynomial of a knot with T-genus one,
Kobe J. Math. 2 (1985), 117-121.
(with K. Sugishita) Triple points and knot cobordisms,
Kobe J. Math. 1 (1984), 1-16.
(with A. Kawauchi and K. Sugishita) On the T-genus of knot cobordisms,
Proc. Japan Acad., Ser. A 59 (1983), 91-93.
The Arf invariant and the Conway polynomial of a link,
Math. Sem. Notes, Kobe Univ. 11 (1983), 335-344.
Other Refereed Papers
An Introduction to the Volume Conjecture,
in: Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory,
Contemp. Math., 541, 2011, pp. 1-40.
(with K. Hikami)
Representations and the colored Jones polynomial of a torus knot,
in: Chern-Simons gauge theory: 20 years after,
AMS/IP Stud. Adv. Math., 50, 2011. pp. 153-171.
Various generalizations of the Volume Conjecture,
in: The Interaction of Analysis and Geometry,
(ed: V. I. Burenkov, T. Iwaniec, and S. K. Vodopyanov),
Contemp. Math., 424, 2006, pp. 165-186.
A quantum introduction to knot theory,
in: Primes and Knots,
(ed: T. Kohno and M. Morishita),
Contemp. Math., 416, 2006, pp. 137-165.
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. 244-272.
Quantum SU(2)-invariants for three-manifolds associated with non-trivial 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,
Quantum SU(2)-invariants of three-manifolds 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 12-17, 1998,
Contemporary Mathematics, Vol. 233, 1999, pp. 117-136.
On the Casson-Walker-Lescop invariant for 3-manifolds,
Mem. School Sci. Engrg. Waseda Univ. 60 (1996), 135-145.
Calculation of the Casson-Walker-Lescop invariant from chord diagrams,
in: Knot Theory, Banach Center Publications, Vol. 42,
(eds: V.F.R. Jones, J. Kania-Bartoszynska, J.H. Przytycki, P. Traczyk and
Proceedings of the conference at the International Stefan Banach
Mathematical Center, Warsaw, Poland, 1995,
Polish Academy of Sciences, 1998, pp. 235--246.
(with T. Ohtsuki) Quantum Sp(2) invariants of three-manifolds 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. 429-443.
Quantum invariants for 3-manifolds,
in : Proc. Appl. Math. Workshops, 4,
The 3rd Korea-Japan School of Knots and Links, (1994)
(eds. K.H. Ko and G.T. Jin), 129-143.
Back to my Home Page.
Current status of the volume conjecture,
Sugaku Expositions 26 (2013), 181-203.
Mahler measure of the colored Jones polynomial and the volume conjecture,
in: Volume Conjecture and Its Related Topics,
Surikaisekikenkyusho Kokyuroku 1279,
Optimistic calculations about the Witten--Reshetikhin--Turaev invariants
of closed three-manifolds obtained from the figure-eight knot by integral
in: Recent Progress towards the volume conjecture,
Surikaisekikenkyusho Kokyuroku 1172,
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,