A counterexample to Batson's conjecture
classification
🧮 math.GT
keywords
batsonconjecturecounterexamplesmoothtorusanalogueballband
read the original abstract
We show that the torus knot $T_{4,9}$ bounds a smooth M\"obius 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.
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