Equivariant topological slice disks and negative amphichiral knots

TL;DR

This paper proves that certain symmetric knots with trivial Alexander polynomial can be sliced in a topologically equivariant manner, expanding understanding of knot symmetry and slicing properties.

Contribution

It establishes that strongly negative amphichiral knots with trivial Alexander polynomial are equivariantly topologically slice, a new result linking symmetry and sliceness.

Findings

Strongly negative amphichiral knots with trivial Alexander polynomial are equivariantly topologically slice.

The result connects knot symmetry properties with topological sliceness.

Provides new insights into the structure of symmetric knots in topology.

Abstract

We show that any strongly negative amphichiral knot with a trivial Alexander polynomial is equivariantly topologically slice.