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MiS Preprint

The Seidel morphism of cartesian products

Rémi Leclercq


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.

MSC Codes:
57R17, 57R58, 57S05
symplectic manifolds, Hamiltonian diffeomorphisms, Seidel morphism

Related publications

2009 Repository Open Access
Rémi Leclerq

The Seidel morphism of Cartesian products

In: Algebraic and geometric topology, 9 (2009) 4, pp. 1951-1969