English

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

Geometric Topology 2025-02-05 v1

Abstract

We show that there exist infinitely many pairwise non-isotopic splitting spheres for two unlinked, unknotted S2S^2's in S4S^4. This answers a question posed by Hughes, Kim, and Miller.

Cite

@article{arxiv.2502.01817,
  title  = {Splitting spheres for unlinked $S^2$'s in $S^4$},
  author = {Alison Tatsuoka},
  journal= {arXiv preprint arXiv:2502.01817},
  year   = {2025}
}

Comments

6 pages, 7 figures. Comments welcome!

R2 v1 2026-06-28T21:31:20.383Z