Floer cohomology of Platonic Lagrangians
arXiv:1510.08031 · doi:10.4310/JSG.2019.v17.n2.a6
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.
Minor corrections and improvements. This upload includes a Mathematica notebook for verifying various computations in the paper