We prove obstructions to a strongly negative amphichiral knot bounding an equivariant slice disk in the 4-ball using the determinant, Spin c -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.
No takes yet. Share an insight, caveat, or question.
Boyle et al. (2024) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: