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

Teruhisa Kadokami, Noriko Maruyama, Tsuyoshi Sakai

For a knot $K$ with ${\Delta }_K(t)\doteq t^2-3t+1$ in a homology $3$-sphere, let $M$ be the result of $2/q$-surgery on $K$. We show that appropriate assumptions on the Reidemeister torsio…