Ptolemy coordinates, Dehn invariant, and the A-polynomial

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.

21 pages, 15 figures

References in corpus (1)

• The Ptolemy field of $3$-manifold-representations

Cited by in corpus (1)

• An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n,3)$