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A variation of McShane’s identity for 2–bridge links

A variation of McShane’s identity for 2–bridge links

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; C/-characters of the once-punctured torus corresponding to the holonomy …