Homological Lagrangian monodromy
Symplectic Geometry
2014-11-11 v3 Differential Geometry
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.
Cite
@article{arxiv.0912.1325,
title = {Homological Lagrangian monodromy},
author = {Shengda Hu and Francois Lalonde and Remi Leclercq},
journal= {arXiv preprint arXiv:0912.1325},
year = {2014}
}
Comments
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.