Nonabelian representations and signatures of double twist knots

2015/07/19 by Tran, Anh T.
#FOS: Mathematics #Geometric Topology (math.GT) #Primary 57N10. Secondary 57M25

paper · doi:10.48550/arxiv.1507.05241

Abstract

A conjecture of Riley about the relationship between real parabolic representations and signatures of two-bridge knots is verified for double twist knots.

Related

• Riley's Conjecture on SL(2,R) Representations of 2-Bridge Knots
• A note on the topological sliceness of some 2-bridge knots
• Twisted Blanchfield pairings and twisted signatures II: Relation to Casson-Gordon invariants
• Parabolic representations and generalized Riley polynomials
• Reidemeister torsion of two-bridge knots and signatures of TQFT