Home > Research > Publications & Outputs > Floer cohomology of the Chiang Lagrangian

Electronic data

  • 1401.4073

    Accepted author manuscript, 1.28 MB, PDF document

Links

Text available via DOI:

View graph of relations

Floer cohomology of the Chiang Lagrangian

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>10/2015
<mark>Journal</mark>Selecta Mathematica
Issue number4
Volume21
Number of pages43
Pages (from-to)1361–1404
Publication statusPublished
Original languageEnglish

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.