The colored Jones polynomials and the simplicial volume of a knot H Murakami, J Murakami | 523 | 2001 |
On a certain move generating link-homology H Murakami, Y Nakanishi Mathematische Annalen 284 (1), 75-89, 1989 | 275 | 1989 |
Homily polynomial via an invariant of colored plane graphs H Murakami, T Ohtsuki, S Yamada Enseignement Mathématique 44, 325-360, 1998 | 223 | 1998 |
Some metrics on classical knots H Murakami Mathematische Annalen 270, 35-45, 1985 | 162 | 1985 |
Kashaev's conjecture and the Chern-Simons invariants of knots and links H Murakami, J Murakami, M Okamoto, T Takata, Y Yokota Experimental Mathematics 11 (3), 427-435, 2002 | 130 | 2002 |
Quantum SO (3)-invariants dominate the SU (2)-invariant of Casson and Walker H Murakami Mathematical Proceedings of the Cambridge Philosophical Society 117 (2), 237-249, 1995 | 101 | 1995 |
Invariants of three-manifolds derived from linking matrices of framed links H Murakami, T Ohtsuki, M Okada | 97 | 1992 |
Quantum SU (2)-invariants dominate Casson's SU (2)-invariant H Murakami Mathematical Proceedings of the Cambridge Philosophical Society 115 (2), 253-281, 1994 | 87 | 1994 |
Two-bridge knots with unknotting number one T Kanenobu, H Murakami Proceedings of the American Mathematical Society 98 (3), 499-502, 1986 | 87 | 1986 |
Chern–Simons theory and the asymptotic behavior of the colored Jones polynomial S Gukov, H Murakami Letters in Mathematical Physics 86 (2), 79-98, 2008 | 75 | 2008 |
An introduction to the volume conjecture H Murakami Interactions between hyperbolic geometry, quantum topology and number theory …, 2011 | 71 | 2011 |
A recursive calculation of the Arf invariant of a link H Murakami Journal of the Mathematical Society of Japan 38 (2), 335-338, 1986 | 49 | 1986 |
The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces H Murakami, Y Yokota Walter de Gruyter 2007 (607), 47-68, 2007 | 47 | 2007 |
On derivatives of the Jones polynomial H Murakami New Developments In The Theory Of Knots, 594-597, 1990 | 45 | 1990 |
Optimistic calculations about the Witten--Reshetikhin--Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries H Murakami arXiv preprint math/0005289, 2000 | 41 | 2000 |
Four-genus and four-dimensional clasp number of a knot H Murakami, A Yasuhara Proceedings of the American Mathematical Society 128 (12), 3693-3699, 2000 | 41 | 2000 |
Crosscap number of a knot H Murakami, A Yasuhara Pacific Journal of Mathematics 171 (1), 261-273, 1995 | 40 | 1995 |
Volume conjecture for knots H Murakami, Y Yokota Springer, 2018 | 38 | 2018 |
Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves S Chmutov, V Goryunov, H Murakami Mathematische Annalen 317 (3), 389-413, 2000 | 38 | 2000 |
Some limits of the colored Jones polynomials of the figure-eight knot H Murakami arXiv preprint math/0308002, 2003 | 35 | 2003 |