Homological Lagrangian monodromy

Shengda Hu, François Lalonde, Rémi Leclercq
2011 Geometry and Topology  
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.
doi:10.2140/gt.2011.15.1617 fatcat:uklt2ucg6zbarngjogyq2jtemy