Equivariantly slicing strongly negative amphichiral knots
Geometric Topology
2024-04-24 v1
Abstract
We prove obstructions to a strongly negative amphichiral knot bounding an equivariant slice disk in the 4-ball using the determinant, Spinc-structures and Donaldson's theorem. Of the 16 slice strongly negative amphichiral knots with 12 or fewer crossings, our obstructions show that 8 are not equivariantly slice, we exhibit equivariant ribbon diagrams for 5 others, and the remaining 3 are unknown. Finally, we give an obstruction to a knot being strongly negative amphichiral in terms of Heegaard Floer correction terms.
Keywords
Cite
@article{arxiv.2109.01198,
title = {Equivariantly slicing strongly negative amphichiral knots},
author = {Keegan Boyle and Ahmad Issa},
journal= {arXiv preprint arXiv:2109.01198},
year = {2024}
}
Comments
20 pages, 6 figures