Twisted Alexander invariants and Hyperbolic volume

2016/04/26 by Hiroshi Goda, Goda, Hiroshi
Mathematics · #57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25 #msc:57M27

paper · pdf · doi:10.48550/arxiv.1604.07490

8 pages, modify a few explanations and typos

arxiv created 2017/02/21 · arxiv updated 2017/02/22

Abstract

We give a volume formula of hyperbolic knot complements using twisted Alexander invariants.

Related

• Hyperbolic Volume and Twisted Alexander invariants of Knots and Links
• Approximations to the volume of hyperbolic knots
• On the volume and the Chern-Simons invariant for the hyperbolic alternating knot orbifolds
• The L²-Alexander invariant is stronger than the genus and the simplicial volume
• Asymptotics of twisted Alexander polynomials and hyperbolic volume