Floer cohomology of the Chiang Lagrangian

• Jonathan David Evans ^[1] ; Yankı Lekili ^[2]
  1. [1] University College London

     University College London

     Reino Unido

     
  2. [2] King's College London

     King's College London

     Reino Unido

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 21, Nº. 4, 2015, págs. 1361-1404
• Idioma: inglés
• DOI: 10.1007/s00029-014-0171-9
• Enlaces
  • Texto completo
• Resumen

  • We study holomorphic discs with boundary on a Lagrangian submanifold LL in a symplectic manifold admitting a Hamiltonian action of a group KK which has LL 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 CP3CP3 first noticed by Chiang (Int Math Res Not 45:2437–2441, 2004). 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.