Download this article
 Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Equivariantly slicing strongly negative amphichiral knots

Keegan Boyle and Ahmad Issa

Algebraic & Geometric Topology 24 (2024) 897–918
Abstract

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.

Keywords
knot theory, equivariantly slice knots, strongly negative amphichiral
Mathematical Subject Classification
Primary: 57K10, 57M60
References
Publication
Received: 2 October 2021
Revised: 23 July 2022
Accepted: 18 August 2022
Published: 12 April 2024
Authors
Keegan Boyle
Department of Mathematics
University of British Columbia
Vancouver, BC
Canada
Ahmad Issa
Department of Mathematics
University of British Columbia
Vancouver, BC
Canada

Open Access made possible by participating institutions via Subscribe to Open.