2005/08/18 by Octav Cornea, Cornea, Octav, François Lalonde +2 · 1 citation
Computer Science · Mathematics · #53D12 #53D40 #Advanced Topology and Set Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis #math.SG #msc:53D12 #msc:53D40
paper · pdf · doi:10.48550/arxiv.math/0508345
arxiv created 2005/08/18 · openalex publication_date 2005/08/18 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We assign, to a Langrangian submanifold L, a new homology which manages the bubbling of disks by means of auxiliary Morse data. This invariant of the Hamiltonian isotopy class of L has many applications and naturally leads to a universal Floer theory for Lagrangian intersections.