Geometry & Topology 15 (2011) 1617–1650

DOI: 10.2140/gt.2011.15.1617

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.

Keywords

Lagrangian monodromy, Hamiltonian isotopy, Hamiltonian fibration, Floer homology, relative Seidel morphism

Mathematical Subject Classification

Primary: 53D12, 53D40

Secondary: 53C15, 53D45, 57R58, 57S05, 58B20

References

Publication

Received: 4 March 2010
Revised: 30 June 2011
Accepted: 02 August 2011
Published: 26 September 2011
Proposed: Leonid Polterovich
Seconded: Yasha Eliashberg, Simon Donaldson

Authors