A new identity for SL(2,C)-characters of the once punctured torus group

Hengnan Hu; Ser Peow Tan; Ying Zhang

A new identity for SL(2,C)-characters of the once punctured torus group

Geometric Topology 2014-02-18 v1 Complex Variables Differential Geometry

Authors: Hengnan Hu , Ser Peow Tan , Ying Zhang

Abstract

We obtain new variations of the original McShane identity for those SL(2,C)-representations of the once punctured torus group which satisfy the Bowditch conditions, and also for those fixed up to conjugacy by an Anosov mapping class of the torus and satisfying the relative Bowditch conditions.

Keywords

SL(2,C) characters once punctured torus group McShane identity Bowditch conditions Anosov mapping class representations

Cite

@article{arxiv.1402.3904,
  title  = {A new identity for SL(2,C)-characters of the once punctured torus group},
  author = {Hengnan Hu and Ser Peow Tan and Ying Zhang},
  journal= {arXiv preprint arXiv:1402.3904},
  year   = {2014}
}

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9 pages

A new identity for SL(2,C)-characters of the once punctured torus group

Abstract

Keywords

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