A counterexample to Batson's conjecture

2019/05/31 by Lobb, Andrew · 1 citation
#57M25 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1906.00799

Abstract

We show that the torus knot T_4,9 bounds a smooth Möbius band in the 4-ball, giving a counterexample to Batson's non-orientable analogue of Milnor's conjecture on the smooth slice genera of torus knots.

Cited by

• The Non-Orientable Four-Ball Genus of a New Infinite Family of Torus Knots

Related

• An infinite family of counterexamples to Batson's conjecture
• Counterexamples to Allen's conjectures
• On a Refinement of the Non-Orientable 4-genus of Torus Knots
• The Non-Orientable Four-Ball Genus of a New Infinite Family of Torus Knots
• On the nonorientable four-ball genus of torus knots