Homological Lagrangian monodromy

Details Homological Lagrangian monodromy Homological Lagrangian monodromy

2009-12-07

arxiv.org/abs/0912.1325v3

Mathematics

Symplectic Geometry

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

Scientific paper

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.

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