Counterexamples to Allen's conjectures
Geometric Topology
2024-07-18 v1
Abstract
We show that the torus knots and bound smooth M\"{o}bius bands in the 4-ball whose double branched covers are negative definite, giving counterexamples to Conjectures 1.6 and 1.8 of Allen in [New York J. Math. 29 (2023) 1038-1059].
Cite
@article{arxiv.2407.12049,
title = {Counterexamples to Allen's conjectures},
author = {Kouki Sato},
journal= {arXiv preprint arXiv:2407.12049},
year = {2024}
}
Comments
4 pages, 3 figures