論文

査読有り
2015年

Braids, complex volume and cluster algebras

ALGEBRAIC AND GEOMETRIC TOPOLOGY
  • Kazuhiro Hikami
  • ,
  • Rei Inoue

15
4
開始ページ
2175
終了ページ
2194
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.2140/agt.2015.15.2175
出版者・発行元
GEOMETRY & TOPOLOGY PUBLICATIONS

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.

リンク情報
DOI
https://doi.org/10.2140/agt.2015.15.2175
arXiv
http://arxiv.org/abs/arXiv:1304.4776
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000361976100008&DestApp=WOS_CPL
URL
http://arxiv.org/abs/1304.4776v6
ID情報
  • DOI : 10.2140/agt.2015.15.2175
  • ISSN : 1472-2739
  • arXiv ID : arXiv:1304.4776
  • Web of Science ID : WOS:000361976100008

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