Floer cohomology of the Chiang Lagrangian

Evans, Jonathan David and Lekili, YankI (2015) Floer cohomology of the Chiang Lagrangian. Selecta Mathematica, 21 (4). 1361–1404. ISSN 1420-9020

Preview

PDF (1401.4073)
1401.4073.pdf - Accepted Version
Download (1MB)

Abstract

We study holomorphic discs with boundary on a Lagrangian submanifold L in a Kaehler manifold admitting a Hamiltonian action of a group K which has L as an orbit. We prove various transversality and classification results for such discs which we then apply to the case of a particular Lagrangian in CP3 first noticed by Chiang. We prove that this Lagrangian has non-vanishing Floer cohomology if and only if the coefficient ring has characteristic 5, in which case it generates the split-closed derived Fukaya category as a triangulated category.