Homological Lagrangian monodromy

Shengda Hu; François Lalonde; Rémi Leclercq

doi:10.2140/gt.2011.15.1617

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Home > Journals > Geom. Topol. > Volume 15 > Issue 3 > Article

2011 Homological Lagrangian monodromy

Shengda Hu, François Lalonde, Rémi Leclercq

Geom. Topol. 15(3): 1617-1650 (2011). DOI: 10.2140/gt.2011.15.1617

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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.

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Shengda Hu. François Lalonde. Rémi Leclercq. "Homological Lagrangian monodromy." Geom. Topol. 15 (3) 1617 - 1650, 2011. https://doi.org/10.2140/gt.2011.15.1617