TY - JOUR
T1 - Braids, complex volume and cluster algebras
AU - Hikami, Kazuhiro
AU - Inoue, Rei
N1 - Publisher Copyright:
© 2015 Mathematical Sciences Publishers. All rights reserved.
PY - 2015/10/10
Y1 - 2015/10/10
N2 - We try to give a cluster-algebraic interpretation of the complex volume of knots. We construct the R–operator from cluster mutations, and show that it can be regarded as a hyperbolic octahedron. The cluster variables are interpreted as the edge parameters used by Zickert for computing complex volume.
AB - We try to give a cluster-algebraic interpretation of the complex volume of knots. We construct the R–operator from cluster mutations, and show that it can be regarded as a hyperbolic octahedron. The cluster variables are interpreted as the edge parameters used by Zickert for computing complex volume.
UR - http://www.scopus.com/inward/record.url?scp=84943234107&partnerID=8YFLogxK
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U2 - 10.2140/agt.2015.15.2175
DO - 10.2140/agt.2015.15.2175
M3 - Article
AN - SCOPUS:84943234107
SN - 1472-2747
VL - 15
SP - 2175
EP - 2194
JO - Algebraic and Geometric Topology
JF - Algebraic and Geometric Topology
IS - 4
M1 - A008
ER -