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arxiv: math/0508345 · v1 · submitted 2005-08-18 · 🧮 math.SG

Cluster Homology

classification 🧮 math.SG
keywords homologyapplicationsassignauxiliarybubblingclassclusterdata
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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.

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