On the potential functions for the hyperbolic structures of a knot complement

2002/11/05 by Yoshiyuki Yokota
Mathematics · #math.GT #msc:57M50 #msc:57M25 #msc:57M27

paper · pdf

published as Geom. Topol. Monogr. 4 (2002) 303-311 · Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper20.abs.html

arxiv created 2002/11/05 · arxiv updated 2009/11/30

Abstract

We explain how to construct certain potential functions for the hyperbolic structures of a knot complement, which are closely related to the analytic functions on the deformation space of hyperbolic structures.

Related

• Computation of Hyperbolic Structures in Knot Theory
• Twisted Alexander invariants and Hyperbolic volume
• Yokota theory, the invariant trace fields of hyperbolic knots and the Borel regulator map
• Hyperbolic Knot Theory
• Hyperbolic Knots