Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 9, Number 4 (2009), 1951-1969.
The Seidel morphism of Cartesian products
We prove that the Seidel morphism of is naturally related to the Seidel morphisms of and , when these manifolds are monotone. We deduce that any homotopy class of loops of Hamiltonian diffeomorphisms of one component, with nontrivial image via Seidel’s morphism, leads to an injection of the fundamental group of the group of Hamiltonian diffeomorphisms of the other component into the fundamental group of the group of Hamiltonian diffeomorphisms of the product. This result was inspired by and extends results obtained by Pedroza [Int. Math. Res. Not. (2008) Art. ID rnn049].
Algebr. Geom. Topol., Volume 9, Number 4 (2009), 1951-1969.
Received: 1 July 2009
Accepted: 31 August 2009
First available in Project Euclid: 20 December 2017
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Leclercq, Rémi. The Seidel morphism of Cartesian products. Algebr. Geom. Topol. 9 (2009), no. 4, 1951--1969. doi:10.2140/agt.2009.9.1951. https://projecteuclid.org/euclid.agt/1513797071