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math.SG2005
Cluster Homology
Octav Cornea, Francois Lalonde
We assign, to a Langrangian submanifold , a new homology which manages the bubbling of disks by means of auxiliary Morse data. This invariant of the Hamiltonian isotopy class of…
math.SG2005
Homotopical dynamics in symplectic topology
J. -F. Barraud, O. Cornea
This is mainly a survey of recent work on algebraic ways to ``measure'' moduli spaces of connecting trajectories in Morse and Floer theories as well as related applications to symp…