English

Stably irreducible non-orientable knotted surfaces

Geometric Topology 2025-04-07 v1

Abstract

We give an elementary obstruction to reducibility for knotted surfaces in the four-sphere. As a new application, we construct stably irreducible non-orientable surfaces.

Keywords

Cite

@article{arxiv.2504.03086,
  title  = {Stably irreducible non-orientable knotted surfaces},
  author = {Tye Lidman and Lisa Piccirillo},
  journal= {arXiv preprint arXiv:2504.03086},
  year   = {2025}
}

Comments

5 pages, 2 figures

R2 v1 2026-06-28T22:46:05.517Z