Papers

  1. The Jones polynomial of periodic knots, Proceedings of American Mathematical Society 113(1991), 889--894
  2. Twisting formulae of the Jones polynomial, Mathematical Proceedings of Cambridge Philosophical Society 110(1991), 473--482
  3. The skein polynomial of periodic knots, Mathematische Annalen 291(1991), 281--291
  4. Polynomial invariants of positive links, Topology 31(1992), 805--811
  5. The Kauffman polynomial of periodic knots, Topology 32(1993), 309--324
  6. The Kauffman polynomial of alternating links, Topology and its Applications 65(1995), 229--236
  7. On quantum SU(2) invariants and generalized bridge numbers of knots, Mathematical Proceedings of Cambridge Philosophical Society 117(1995), 545--557
  8. Polynomial invariants of periodic knots, Journal of Knot Theory and its Ramifications 5(1996), 553--567
  9. Topological invariants of graphs in 3-space, Topology 35(1996), 77-- 87
  10. An example of tunnel number one knots which have the property "1+1=3" (with K. Morimoto and M. Sakuma), Mathematical Proceedings of Cambridge Philosophical Society 119(1996), 113--118
  11. Identifying tunnel number one knots (with K. Morimoto and M. Sakuma), Journal of Mathematical Society of Japan 48(1996), 667--688
  12. Skeins and quantum SU(N) invariants of 3-manifolds, Mathematische Annalen 307(1997), 109--138
  13. The PSU(N) invariants of 3-manifolds are algebraic integers (with T. Takata), Journal of Knot Theory and its Ramifications, 8(1999), 521--532
  14. On the volume conjecture for hyperbolic knots, preprint
  15. Kashaev's conjecture and the Chern-Simons invariants of knots and links (with H. Murakami, J. Murakami, M. Okamoto, T. Takata), Experimantal Mathematics 11(2002), 447--455
  16. On the potential functions for the hyperbolic structures of a knot complement, Geometry and Topology 4(2002), 303--311
  17. From the Jones polynomial to the A-polynomial of hyperbolic knots, Interdisciplinary Information Sciences 9(2003), 11--21
  18. A formula for the A-polynomial of (-2,3,1-2n)-pretzel knots (with N. Tamura), Tokyo Journal of Mathematics 27(2004), 263--273
  19. The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces (with H. Murakami), Journal fur die reine und angewandte Mathematik, to appear
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