The Seidel morphism of cartesian products

Rémi Leclercq

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Submission date: 24. Mar. 2009
Pages: 16
published in: Algebraic and geometric topology, 9 (2009) 4, p. 1951-1969 
DOI number (of the published article): 10.2140/agt.2009.9.1951
Bibtex
MSC-Numbers: 57R17, 57R58, 57S05
Keywords and phrases: symplectic manifolds, Hamiltonian diffeomorphisms, Seidel morphism
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Abstract:
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.