English

Cluster Homology

Symplectic Geometry 2007-05-23 v1

Abstract

We assign, to a Langrangian submanifold LL, a new homology which manages the bubbling of disks by means of auxiliary Morse data. This invariant of the Hamiltonian isotopy class of LL has many applications and naturally leads to a universal Floer theory for Lagrangian intersections.

Keywords

Cite

@article{arxiv.math/0508345,
  title  = {Cluster Homology},
  author = {Octav Cornea and Francois Lalonde},
  journal= {arXiv preprint arXiv:math/0508345},
  year   = {2007}
}