A restriction on the Alexander polynomials of $L$-space knots

David Krcatovich

Vol. 297 (2018), No. 1, 117–129

DOI: 10.2140/pjm.2018.297.117

Abstract

Using an invariant defined by Rasmussen, we extend an argument given by Hedden and Watson which further restricts which Alexander polynomials can be realized by $L$-space knots.

Keywords

$L$-space knot, Alexander polynomial, lens space surgery

Mathematical Subject Classification 2010

Primary: 57M25

Secondary: 57M27

Milestones

Received: 30 August 2016

Revised: 4 October 2017

Accepted: 9 October 2017

Published: 7 October 2018