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

2003/10/11 by Manabu Akaho, Akaho, Manabu · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #math.SG

paper · pdf · doi:10.48550/arxiv.math/0310166

67 pages

arxiv created 2003/10/11 · arxiv updated 2009/12/01

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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