Floer cohomology of Platonic Lagrangians
Symplectic Geometry
2019-08-02 v3 Algebraic Geometry
Abstract
We analyse holomorphic discs on Lagrangian SU(2)-orbits in a family of quasihomogeneous threefolds of SL(2, C), previously studied by Evans-Lekili, introducing several techniques that should be applicable to wider classes of homogeneous Lagrangians. By studying the closed-open map we place strong restrictions on the self-Floer cohomology of these Lagrangians, which we then compute using the Biran-Cornea pearl complex.
Keywords
Cite
@article{arxiv.1510.08031,
title = {Floer cohomology of Platonic Lagrangians},
author = {Jack Smith},
journal= {arXiv preprint arXiv:1510.08031},
year = {2019}
}
Comments
Minor corrections and improvements. This upload includes a Mathematica notebook for verifying various computations in the paper