Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant II

2015/01/06 by Teruhisa Kadokami, Kadokami, Teruhisa, Noriko Maruyama +3
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Algebraic Geometry and Number Theory

paper · doi:10.48550/arxiv.1501.01159

Abstract

For a knot K with Δ_K(t)\doteq t²-3t+1 in a homology 3-sphere, let M be the result of 2/q-surgery on K. We show that an appropriate assumption on the Reidemeister torsion of the universal abelian covering of M implies q=± 1, if M is a Seifert fibered space.

Citations

• Dehn Surgery on Knots

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