English

Unknotting Lagrangian $\mathrm{S}^1\times\mathrm{S}^{n-1}$ in $\mathbb{R}^{2n}$

Symplectic Geometry 2025-05-19 v3 Geometric Topology

Abstract

Lagrangian embeddings S1×Sn1R2n\mathrm{S}^1\times\mathrm{S}^{n-1}\hookrightarrow\mathbb{R}^{2n} are classified up to smooth isotopy for all n3n\ge 3.

Keywords

Cite

@article{arxiv.2408.10916,
  title  = {Unknotting Lagrangian $\mathrm{S}^1\times\mathrm{S}^{n-1}$ in $\mathbb{R}^{2n}$},
  author = {Stefan Nemirovski},
  journal= {arXiv preprint arXiv:2408.10916},
  year   = {2025}
}

Comments

V.2 - small expositional edits, reference added, 12 pages; V.3 - typos fixed, references updated, 12 pages