Counterexamples to Allen's conjectures
arXiv:2407.12049
Abstract
We show that the torus knots and bound smooth Möbius 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].
arXiv comment4 pages, 3 figures