Splitting spheres for unlinked $S^2$'s in $S^4$

Alison Tatsuoka

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arXiv · 2502.01817

Splitting spheres for unlinked $S^2$'s in $S^4$

Alison Tatsuoka

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Abstract

We show that there exist infinitely many pairwise non-isotopic splitting spheres for two unlinked, unknotted $S^2$'s in $S^4$. This answers a question posed by Hughes, Kim, and Miller.

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Alison Tatsuoka. 2025-02-03. Splitting spheres for unlinked $S^2$'s in $S^4$. https://arxiv.org/abs/2502.01817

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