Torsion functions on moduli spaces in view of the cluster algebra
Torsion functions on moduli spaces in view of the cluster algebra
复制标题
簇代数视角下模空间上的扭转函数
DOI：
10.1007/s10711-014-0032-x
复制
发表时间：
2015
影响因子：
0.5
通讯作者：
Takahiro Kitayama and Yuji Terashima
中科院分区：
文献类型：
--
作者：
Stefan Friedl;Takahiro Kitayama and Matthias Nagel;Takahiro Kitayama;Takahiro Kitayama;Takahiro Kitayama and Yuji Terashima
本文引入了具有环面边界的流形的非非循环扭转，作为J. Porti扭转的推广，并利用V. Fock和a . Goncharov提出的更高的teichm<e:1>理论，给出了具有穿孔表面的映射环面的非非循环扭转的显式公式。我们的公式给出了一个表示扭转函数的具体有理函数，它来自与映射类相关的具体簇变换。
We introduce non-acyclic-torsion of a-manifold with toroidal boundary as an extension of J. Porti’s-torsion, and present an explicit formula of the-torsion of a mapping torus for a surface with punctures, by using the higher Teichmüler theory due to V. Fock and A. Goncharov. Our formula gives a concrete rational function which represents the torsion function and comes from a concrete cluster transformation associated with the mapping class.