English

Infinitely many monotone Lagrangian tori in higher projective spaces

Symplectic Geometry 2023-07-14 v1

Abstract

Vianna constructed infinitely many exotic Lagrangian tori in the complex projective plane. We lift these tori to higher-dimensional projective spaces and show that they remain non-symplectomorphic. Our proof is elementary except for an application of the wall-crossing formula by Pascaleff-Tonkonog.

Keywords

Cite

@article{arxiv.2307.06934,
  title  = {Infinitely many monotone Lagrangian tori in higher projective spaces},
  author = {Soham Chanda and Amanda Hirschi and Luya Wang},
  journal= {arXiv preprint arXiv:2307.06934},
  year   = {2023}
}

Comments

11 pages, 1 figure. Comments welcome!