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The Seidel morphism of cartesian products
Rémi LeclercqAbstract
We prove that the Seidel morphism of the product of two symplectic manifolds is naturally related to the Seidel morphisms of both components, when these manifolds are monotone. We deduce a condition for loops of Hamiltonian diffeomorphisms of the product to be homotopically non trivial. This result was inspired by and extends results obtained by Pedroza.
- Received:
- 24.03.09
- Published:
- 26.03.09
- MSC Codes:
- 57R17, 57R58, 57S05
- Keywords:
- symplectic manifolds, Hamiltonian diffeomorphisms, Seidel morphism