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

2014/08/22 by Teruhisa Kadokami, Kadokami, Teruhisa, Noriko Maruyama +3
Mathematics · Medicine · #11R04 #11R27 #57M25 #57M27 #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1408.5356

openalex publication_date 2014/08/22 · openalex created_date 2022/01/26 · openalex updated_date 2026/07/28

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 appropriate assumptions on the Reidemeister torsion and the Casson-Walker-Lescop invariant of the universal abelian covering of M imply q=± 1, if M is a Seifert fibered space.

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