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

preprint2014arXivOpen access

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.

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