On the periodic non-orientable 4-genus of a knot

Taran Grove; Stanislav Jabuka

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arXiv · 2106.16195

On the periodic non-orientable 4-genus of a knot

Taran Grove·Stanislav Jabuka

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Abstract

We show that the equivariant and non-equivariant non-orientable 4-genus of p-periodic knots may differ, for any choice of p>1. Similar results have previously been obtained for the smooth 4-genus and non-orientable 3-genus of a periodic knot. These stand in contrast to Edmods' acclaimed result by which the equivariant and non-equivariant Seifert genus of a periodic knot agree.

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Taran Grove, Stanislav Jabuka. 2021-06-30. On the periodic non-orientable 4-genus of a knot. https://arxiv.org/abs/2106.16195

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