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

TL;DR

This paper uses Rasmussen's invariant to extend restrictions on Alexander polynomials that can be realized by L-space knots, refining previous results in knot theory.

Contribution

It introduces a new approach leveraging Rasmussen's invariant to further limit the Alexander polynomials of L-space knots.

Findings

Identifies new restrictions on Alexander polynomials of L-space knots.

Extends previous work by Hedden and Watson.

Provides a refined classification criterion for L-space knots.

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.