English

Singular symplectic spaces and holomorphic membranes

Symplectic Geometry 2023-03-14 v3 Algebraic Geometry Geometric Topology

Abstract

We set up a topological framework for degenerations of symplectic manifolds into singular spaces paying a special attention to the behavior of Lagrangian manifolds and their (holomorphic) membranes. We show that degenerations into singular toric varieties provide a source of exotic Lagrangian tori.

Keywords

Cite

@article{arxiv.2203.10043,
  title  = {Singular symplectic spaces and holomorphic membranes},
  author = {Sergey Galkin and Grigory Mikhalkin},
  journal= {arXiv preprint arXiv:2203.10043},
  year   = {2023}
}

Comments

accepted version

R2 v1 2026-06-24T10:18:35.982Z