2015年
Braids, complex volume and cluster algebras
ALGEBRAIC AND GEOMETRIC TOPOLOGY
- ,
- 巻
- 15
- 号
- 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