Floer theory and flips
Symplectic Geometry
2022-07-21 v9
Abstract
We show that blow-ups or reverse flips (in the sense of the minimal model program) of rational symplectic manifolds with point centers create Floer-non-trivial Lagrangian tori. As applications, we demonstrate the existence of Hamiltonian non-displaceable Lagrangian tori in, for example, small symplectic blow-ups of compact symplectic manifolds and moduli spaces of polygons. These results are part of a conjectural description of generators for the Fukaya category of a compact symplectic manifold with a singularity-free running of the minimal model program.
Cite
@article{arxiv.1508.01573,
title = {Floer theory and flips},
author = {François Charest and Chris T. Woodward},
journal= {arXiv preprint arXiv:1508.01573},
year = {2022}
}
Comments
171 pages, 38 figures. Minor corrections in response to proofs. arXiv admin note: text overlap with arXiv:1505.08146