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

Manabu Akaho
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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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Manabu Akaho. 2003-10-11. Floer's chain complexes for Lagrangian submanifolds in symplectic manifolds with concave ends. https://arxiv.org/abs/math/0310166

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