Gluck twisting roll spun knots
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2020
- DOI:
- 10.48550/arXiv.2009.05703
- arXiv:
- arXiv:2009.05703
- Bibcode:
- 2020arXiv200905703N
- Keywords:
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- Mathematics - Geometric Topology
- E-Print:
- Comments welcome!