Cluster Homology

Abstract

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.

Cited by in corpus (2)

• Rigidity and uniruling for Lagrangian submanifolds
• Exact Lagrangian caps and non-uniruled Lagrangian submanifolds