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Floer's chain complexes for Lagrangian submanifolds in symplectic manifolds with concave ends

Manabu Akaho

math.SGarXiv:math/0310166

Abstract

Floer's chain complexes for Lagrangian submanifolds in closed symplectic manifolds are generated by intersection points of Lagrangian submanifolds and whose differentials count pseudo-holomorphic strips with Lagrangian boundary conditions. In this paper we will propose Floer's chain complexes for Lagrangian submanifolds in symplectic manifolds with concave ends.

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