A variation of McShane's identity for 2-bridge links

Details A variation of McShane's identity for 2-bridge links A variation of McShane's identity for 2-bridge links

2011-12-26

arxiv.org/abs/1112.5859v1

Mathematics

Geometric Topology

40 pages, 18 figures

Scientific paper

We give a variation of McShane's identity, which describes the cusp shape of a hyperbolic 2-bridge link in terms of the complex translation lengths of simple loops on the bridge sphere. We also explicitly determine the set of end invariants of $SL(2,\mathbb{C})$-characters of the once-punctured torus corresponding to the holonomy representations of the complete hyperbolic structures of 2-bridge link complements.

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