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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
16/2009

The Seidel morphism of cartesian products

Rémi Leclercq

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.

Received:
Mar 24, 2009
Published:
Mar 26, 2009
MSC Codes:
57R17, 57R58, 57S05
Keywords:
symplectic manifolds, Hamiltonian diffeomorphisms, Seidel morphism

Related publications

inJournal
2009 Repository Open Access
Rémi Leclerq

The Seidel morphism of Cartesian products

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