On Shake Slice Knots

TL;DR

This paper explores the properties of r-shake slice knots, their connection to corks, and proves that 0-shake slice knots are indeed slice, advancing understanding in knot theory and 4-manifold topology.

Contribution

It establishes that 0-shake slice knots are slice, clarifying their relationship to corks and contributing to knot classification.

Findings

0-shake slice knots are proven to be slice

Discussion of r-shake slice knots and their relation to corks

Advances understanding of knot slicing properties

Abstract

Here we discuss $r-$shake slice knots, and their relation to corks, we then prove that $0$-shake slice knots are slice.