Geometry & Topology Monographs 13 (2008) 307–321

DOI: 10.2140/gtm.2008.13.307

arXiv: 0904.0810

Abstract

We give a survey of some recent papers by the authors and Masaaki Wada relating the twisted Alexander polynomial with a partial order on the set of prime knots. We also give examples and pose open problems.

Keywords

twisted Alexander polynomial, finitely presentable group, surjective homomorphism, prime knot, partial order

Mathematical Subject Classification

Primary: 57M25

Secondary: 57M05

References

Publication

Received: 31 May 2006
Revised: 19 September 2007
Accepted: 26 September 2007
Published: 25 February 2008

Authors