Homological Lagrangian monodromy

Abstract

We show that the Hamiltonian Lagrangian monodromy group, in its homological version, is trivial for any weakly exact Lagrangian submanifold of a symplectic manifold. The proof relies on a sheaf approach to Floer homology given by a relative Seidel morphism.

17 pages; R. Leclercq joined as co-author and a second, more algebraic proof of the main result is added, and added references as well as comments.

References in corpus (2)

• Quantum Structures for Lagrangian Submanifolds
• Exact Lagrangian submanifolds in simply-connected cotangent bundles

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• On the equatorial Dehn twist of a Lagrangian nodal sphere
• Monodromy groups of Lagrangian tori in the symplectic 4-space