English

An exotic 5RP^2 in the 4-sphere

Geometric Topology 2024-06-26 v2 Algebraic Geometry

Abstract

We show an example of an embedded copy of 5RP^2 in the four-sphere which is topologically standard but smoothly knotted, i.e. smoothly not isotopic to the standard embedding.

Keywords

Cite

@article{arxiv.2312.03617,
  title  = {An exotic 5RP^2 in the 4-sphere},
  author = {Gordana Matić and Ferit Öztürk and Javier Reyes and András I. Stipsicz and Giancarlo Urzúa},
  journal= {arXiv preprint arXiv:2312.03617},
  year   = {2024}
}

Comments

18 pages, 3 figures. Mistake in the construction from previous version has been fixed, two new authors have been added

R2 v1 2026-06-28T13:43:00.234Z