Determining the doubly slice genera of prime knots with up to 12 crossings

Lucia P. Karageorghis; Frank Swenton

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arXiv · 2104.10756

Determining the doubly slice genera of prime knots with up to 12 crossings

Lucia P. Karageorghis·Frank Swenton

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Abstract

For a knot $K$, the doubly slice genus $g_{ds}(K)$ is the minimal $g$ such that $K$ divides a closed, orientable, and unknotted surface of genus $g$ embedded in $S^4$. In this paper, we identify the doubly slice genera of 2909 of the 2977 prime knots which have a crossing number of 12 or fewer.

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BibTeX RIS

Lucia P. Karageorghis, Frank Swenton. 2021-04-21. Determining the doubly slice genera of prime knots with up to 12 crossings. https://arxiv.org/abs/2104.10756

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