$A_{n}$-type surface singularity and nondisplaceable Lagrangian tori
Symplectic Geometry
2020-06-05 v2
Abstract
We prove the existence of a one-parameter family of nondisplaceable Lagrangian tori near a linear chain of Lagrangian 2-spheres in a symplectic 4-manifold. When the symplectic structure is rational we prove that the deformed Floer cohomology groups of these tori are nontrivial. The proof uses the idea of toric degeneration to analyze the full potential functions with bulk deformations of these tori.
Keywords
Cite
@article{arxiv.1710.11221,
title = {$A_{n}$-type surface singularity and nondisplaceable Lagrangian tori},
author = {Yuhan Sun},
journal= {arXiv preprint arXiv:1710.11221},
year = {2020}
}
Comments
largely rewrite with a new section on del Pezzo surfaces