CLUSTER ALGEBRA AND COMPLEX VOLUME OF ONCE-PUNCTURED TORUS BUNDLES AND 2-BRIDGE LINKS-Reference-Cited by-同舟云学术

CLUSTER ALGEBRA AND COMPLEX VOLUME OF ONCE-PUNCTURED TORUS BUNDLES AND 2-BRIDGE LINKS

Published:2014-01 Issue:01 Volume:23 Page:1450006
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HIKAMI KAZUHIRO¹,INOUE REI²

Affiliation:

1. Faculty of Mathematics, Kyushu University, Fukuoka 819-0395, Japan

2. Department of Mathematics and Informatics, Faculty of Science, Chiba University, Chiba 263-8522, Japan

Abstract

We propose a method to compute complex volume of 2-bridge link complements. Our construction sheds light on a relationship between cluster variables with coefficients and canonical decompositions of link complements.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216514500060

Reference19 articles.

1. Lecture Notes in Mathematics;Akiyoshi H.,2007

2. Exact results for perturbative Chern–Simons theory with complex gauge group

3. Incompressible surfaces in punctured-torus bundles

4. Moduli spaces of local systems and higher Teichmüller theory

5. Cluster algebras and triangulated surfaces. Part I: Cluster complexes

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Hikami–Inoue conjecture;Algebraic & Geometric Topology;2020-02-23

2. Note on Character Varieties and Cluster Algebras;Symmetry, Integrability and Geometry: Methods and Applications;2019-01-20

3. Check-Operators and Quantum Spectral Curves;Symmetry, Integrability and Geometry: Methods and Applications;2017-06-26

4. SU(2)/SL(2) knot invariants and Kontsevich–Soibelman monodromies;Theoretical and Mathematical Physics;2016-05

5. Braids, complex volume and cluster algebras;Algebraic & Geometric Topology;2015-09-10