Twisted Alexander polynomial and Reidemeister torsion

Teruaki Kitano

Vol. 174 (1996), No. 2, 431–442

DOI: 10.2140/pjm.1996.174.431

Abstract

This paper will show that the twisted Alexander polynomial of a knot is the Reidemeister torsion of its knot exterior. As an application we obtain a proof that the twisted Alexander polynomial of a knot for an SO(n)-representation is symmetric.

Mathematical Subject Classification 2000

Primary: 57M25

Milestones

Received: 10 January 1994

Revised: 23 March 1994

Published: 1 June 1996