H. Murakami

发表

The colored Jones polynomials and the simplicial volume of a knot

J. Murakami, H. Murakami, 1999, math/9905075.

An Introduction to the Volume Conjecture

H. Murakami, 2010, 1002.0126.

Problems on invariants of knots and 3-manifolds

J. Murakami, L. Pilo, H. R. Morton, 2004, math/0406190.

Quantum SU(2)-invariants for three-manifolds associated with non-trivial cohomology classes modulo two

H. Murakami, 1999, math/9902123.

Optimistic calculations about the Witten--Reshetikhin--Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries

H. Murakami, 2000, math/0005289.

Vassiliev invariants of type two for a link

H. Murakami, 1996 .

A three-manifold invariant via the Kontsevich integral

J. Murakami, Thang T. Q. Lê, H. Murakami, 1999 .

Ru Catalyst Facilitates Total Chemical Protein Synthesis to Investigate the Effect of Epigenetic Modifications Decorated on Linker Histone H1.2 and Heterochromatin Protein 1α (HP1α)

H. Murakami, H. Kurumizaka, N. Kamo, 2020 .

Problems on invariants of knots and 3-manifolds

V. Turaev, C. Rourke, B. Sanderson, 2004, math/0406190.

The Colored Jones Polynomial, the Chern–Simons Invariant, and the Reidemeister Torsion of a Twice–Iterated Torus Knot

H. Murakami, 2014, 1402.2714.

Asymptotic behaviors of the colored Jones polynomials of a torus knot

H. Murakami, 2004, math/0405126.

Mahler measure of the colored Jones polynomial and the volume conjecture

H. Murakami, 2002, math/0206249.

The twisted Reidemeister torsion of an iterated torus knot

H. Murakami, 2016, Topology and its Applications.

Witten–Reshetikhin–Turaev Function for a Knot in Seifert Manifolds

H. Murakami, Kohei Iwaki, Yuji Terashima, 2020, Communications in Mathematical Physics.

Invariants of three-manifolds derived from linking matrices of framed links

H. Murakami, T. Ohtsuki, M. Okada, 1992 .

On a certain move generating link-homology

Hitoshi Murakami, Yasutaka Nakanishi, H. Murakami, 1989 .

Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links

J. Murakami, H. Murakami, M. Okamoto, 2002, Exp. Math..

Quantum SO(3)-invariants dominate the SU(2)-invariant of Casson and Walker

H. Murakami, 1995, Mathematical Proceedings of the Cambridge Philosophical Society.

Quantum SU(2)-invariants dominate Casson's SU(2)-invariant

H. Murakami, 1994, Mathematical Proceedings of the Cambridge Philosophical Society.

Two-bridge knots with unknotting number one

H. Murakami, T. Kanenobu, 1986 .

Quantum invariants of three-manifolds obtained by surgeries along torus knots

Anh T. Tran, H. Murakami, 2020, Quantum Topology.

The Colored Jones Polynomial, the Chern–Simons Invariant, and the Reidemeister Torsion of a Twice–Iterated Torus Knot

H. Murakami, 2014, Acta Mathematica Vietnamica.

Representations and the colored Jones polynomial of a torus knot

H. Murakami, K. Hikami, 2010, 1001.2680.

Generalizations of the Volume Conjecture

H. Murakami, Y. Yokota, 2018 .

The colored Jones polynomials and the Alexander polynomial of the figure-eight knot

H. Murakami, 2005, math/0502428.

The asymptotic behaviors of the colored Jones polynomials of the figure eight-knot, and an affine representation

H. Murakami, 2023, 2307.07100.

On the asymptotic behavior of the colored Jones polynomial of the figure-eight knot associated with a real number

Anh T. Tran, H. Murakami, 2021, 2109.04664.

The coloured Jones polynomial, the Chern–Simons invariant, and the Reidemeister torsion of the figure‐eight knot

H. Murakami, 2011, 1102.3530.

$${SL(2, \mathbb{C})}$$ Chern–Simons Theory and the Asymptotic Behavior of the Colored Jones Polynomial

H. Murakami, S. Gukov, 2006, math/0608324.

Representations of a Knot Group, Their Chern–Simons Invariants, and Their Reidemeister Torsions

H. Murakami, Y. Yokota, 2018 .

S L ( 2 , C ) Chern–Simons Theory and the Asymptotic Behavior of the Colored Jones Polynomial

H. Murakami, S. Gukov, 2008 .

Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves

S. Chmutov, H. Murakami, V. Goryunov, 2000 .

Some metrics on classical knots

H. Murakami, 1985 .

Finite type invariants of knots via their Seifert matrices

H. Murakami, T. Ohtsuki, 1999, math/9903069.

ASurvey of Knot Concordance

H. Murakami, Andrius Tamulis, 2007 .

Four-genus and four-dimensional clasp number of a knot

H. Murakami, A. Yasuhara, 2000 .

A QUANTUM INTRODUCTION TO KNOT THEORY

H. Murakami, R. Kashaev, A. Vesnin, 2003 .

Crosscap number of a knot

Hitoshi Murakami, Akira Yasuhara, H. Murakami, 1995 .

Sharp-unknotting number and the Alexander module

H. Murakami, Sakuko Sakai, 1993 .

An introduction to the volume conjecture and its generalizations

H. Murakami, 2008, 0802.0039.

Quantum SU(2)-invariants for three-manifolds associated with non-trivial cohomology classes modulo two

H. Murakami, 1999, math/9902123.

Hyperbolic three-manifolds with trivial finite type invariants

H. Murakami, 1999, math/9902018.

Surface distance on knots

H. Murakami, 2006, math/0601365.

Optimistic calculations about the Witten--Reshetikhin--Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries

H. Murakami, 2000, math/0005289.

On the $T$-genus of knot cobordism

H. Murakami, A. Kawauchi, Kouji Sugishita, 1983 .

On derivatives of the Jones polynomial

H. Murakami, 1986 .

Volume Conjecture for Knots

H. Murakami, Y. Yokota, 2018 .

Kashaev's Invariant and the Volume of a Hyperbolic Knot after Y. Yokota

H. Murakami, 2000, math/0008027.

A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant

J. Murakami, Thang T. Q. Lê, H. Murakami, 1995 .

The colored Jones polynomial of a cable of the figure-eight knot

Anh T. Tran, H. Murakami, 2020, Journal of Knot Theory and Its Ramifications.

Kashaev invariants of twice-iterated torus knots

Anh T. Tran, H. Murakami, 2019, Topology and its Applications.

Colored Jones polynomials with polynomial growth

H. Murakami, K. Hikami, 2007, 0711.2836.

The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries

H. Murakami, 2004 .

The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces

H. Murakami, Y. Yokota, 2004, math/0401084.

Some limits of the colored Jones polynomials of the figure-eight knot

H. Murakami, 2003, math/0308002.

Root polytopes, parking functions, and the HOMFLY polynomial

H. Murakami, Tam'as K'alm'an, 2013, 1305.4925.

THE COLORED JONES POLYNOMIAL OF THE FIGURE-EIGHT KNOT AND A QUANTUM MODULARITY

H. Murakami, 2022, Canadian Journal of Mathematics.

Triple points and knot cobordism

H. Murakami, Kouji Sugishita, 1984 .

A recursive calculation of the Arf invariant of a link

H. Murakami, 1986 .

A formula for the two-variable link polynomial

H. Murakami, 1987 .

Title Invariants of three-manifolds derived fromlinking matrices of framed links

H. Murakami, T. Ohtsuki, Okada, 2022 .

Optimistic calculations about the Witten--Reshetikhin--Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries

H. Murakami, 2000, math/0005289.

The asymptotic behavior of the colored Jones function of a knot and its volume

H. Murakami, 2000, math/0004036.