Gluck twisting roll spun knots
Geometric Topology
2022-08-10 v1
Abstract
We show that the smooth homotopy 4-sphere obtained by Gluck twisting the m-twist n-roll spin of any unknotting number one knot is diffeomorphic to the standard 4-sphere, for any pair of integers (m,n). It follows as a corollary that an infinite collection of twisted doubles of Gompf's infinite order corks are standard.
Cite
@article{arxiv.2009.05703,
title = {Gluck twisting roll spun knots},
author = {Patrick Naylor and Hannah Schwartz},
journal= {arXiv preprint arXiv:2009.05703},
year = {2022}
}
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