Geometry & Topology Monographs, Vol. 4 (2002),
Invariants of knots and 3-manifolds (Kyoto 2001),
Paper no. 20, pages 303--311.

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

Yoshiyuki Yokota

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.

Keywords. Potential function, hyperbolicity equations, volume, Chern-Simons invariant

AMS subject classification. Primary: 57M50. Secondary: 57M25, 57M27.

E-print: arXiv:math.GT/0211086

Submitted to GT on 5 December 2001. (Revised 19 February 2002.) Paper accepted 22 July 2002. Paper published 13 October 2002.

Notes on file formats

Yoshiyuki Yokota
Department of Mathematics, Tokyo Metropolitan University
Tokyo, 192-0397, Japan
Email: jojo@math.metro-u.ac.jp

GTM home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.