Geodesic
Homological Lagrangian monodromy
Hu, Shengda1 ; Lalonde, François2 ; Leclercq, Rémi2
1 Department of Mathematics, Wilfrid Laurier University, 75 University Ave. West, Waterloo, Ontario N2L 3C5, Canada
2 Département de mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7, Canada
Geometry & topology, Tome 15 (2011) no. 3, pp. 1617-1650.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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
Classification : 53D12, 53D40, 53C15, 53D45, 57R58, 57S05, 58B20
Keywords: Lagrangian monodromy, Hamiltonian isotopy, Hamiltonian fibration, Floer homology, relative Seidel morphism

Hu, Shengda 1 ; Lalonde, François 2 ; Leclercq, Rémi 2

1 Department of Mathematics, Wilfrid Laurier University, 75 University Ave. West, Waterloo, Ontario N2L 3C5, Canada
2 Département de mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, Québec H3C 3J7, Canada 
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Hu, Shengda; Lalonde, François; Leclercq, Rémi. Homological Lagrangian monodromy. Geometry & topology, Tome 15 (2011) no. 3, pp. 1617-1650. doi : 10.2140/gt.2011.15.1617. http://geodesic.mathdoc.fr/articles/10.2140/gt.2011.15.1617/

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