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arXiv · 2203.10043

Singular symplectic spaces and holomorphic membranes

Sergey Galkin·Grigory Mikhalkin
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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.

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Sergey Galkin, Grigory Mikhalkin. 2022-03-18. Singular symplectic spaces and holomorphic membranes. https://doi.org/10.1007/s40879-022-00568-y

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