Ptolemy coordinates, Dehn invariant, and the A-polynomial

preprint2014arXivOpen access

Abstract

We define Ptolemy coordinates for representations that are not necessarily boundary-unipotent. This gives rise to a new algorithm for computing the SL(2,C) A-polynomial, and more generally the SL(n,C) A-varieties. We also give a formula for the Dehn invariant of an SL(n,C)-representation.

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