English

A counterexample to Batson's conjecture

Geometric Topology 2019-06-04 v1

Abstract

We show that the torus knot T4,9T_{4,9} bounds a smooth M\"obius band in the 44-ball, giving a counterexample to Batson's non-orientable analogue of Milnor's conjecture on the smooth slice genera of torus knots.

Cite

@article{arxiv.1906.00799,
  title  = {A counterexample to Batson's conjecture},
  author = {Andrew Lobb},
  journal= {arXiv preprint arXiv:1906.00799},
  year   = {2019}
}
R2 v1 2026-06-23T09:38:58.075Z