Braids, complex volume and cluster algebras

Kazuhiro Hikami, Rei Inoue

研究成果: ジャーナルへの寄稿記事

7 引用 (Scopus)

抄録

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.

元の言語英語
記事番号A008
ページ(範囲)2175-2194
ページ数20
ジャーナルAlgebraic and Geometric Topology
15
発行部数4
DOI
出版物ステータス出版済み - 10 10 2015

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Cluster Algebra
Braid
Octahedron
Knot
Mutation
Computing

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

これを引用

Braids, complex volume and cluster algebras. / Hikami, Kazuhiro; Inoue, Rei.

:: Algebraic and Geometric Topology, 巻 15, 番号 4, A008, 10.10.2015, p. 2175-2194.

研究成果: ジャーナルへの寄稿記事

Hikami, Kazuhiro ; Inoue, Rei. / Braids, complex volume and cluster algebras. :: Algebraic and Geometric Topology. 2015 ; 巻 15, 番号 4. pp. 2175-2194.
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