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Homological Lagrangian
monodromy
Shengda Hu, François Lalonde and Rémi Leclercq |
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Geometry & Topology 15 (2011) 1617–1650
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Abstract |
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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
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Mathematical Subject Classification 2010
Primary: 53D12, 53D40
Secondary: 53C15, 53D45, 57R58, 57S05, 58B20
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References |
Publication
Received: 4 March 2010
Revised: 30 June 2011
Accepted: 2 August 2011
Published: 26 September 2011
Proposed: Leonid Polterovich
Seconded: Yasha Eliashberg, Simon Donaldson
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Authors |
| Shengda Hu | |
| Department of Mathematics Wilfrid Laurier University 75 University Ave. West Waterloo Ontario N2L 3C5 Canada |
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| François Lalonde | |
| Département de mathématiques et de
Statistique Université de Montréal C.P. 6128 Succ. Centre-ville Montréal Québec H3C 3J7 Canada |
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| Rémi Leclercq | |
| Département de mathématiques et de
Statistique Université de Montréal C.P. 6128 Succ. Centre-ville Montréal Québec H3C 3J7 Canada |
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