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

摘要

For a knot K with Delta(K)(t) (sic) t(2) - 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. (C) 2015 Elsevier B.V. All rights reserved.