International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn049, 19 pages, doi:10.1093/imrn/rnn049
published on
May 22, 2008
© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org
Seidel's Representation on the Hamiltonian Group of a Cartesian Product
Andrés Pedroza
Facultad de Ciencias y CUICBAS, Universidad de Colima, Bernal Díaz del Castillo No. 340, Colima, Col., Mexico 28045
Correspondence: Correspondence to be sent to: andres_pedroza{at}ucol.mx
Let 
be a closed symplectic manifold and 
the group of Hamiltonian diffeomorphisms of 
. Then the Seidel homomorphism is a map from the fundamental group of 
to the quantum homology ring 
. Using this homomorphism, we give a sufficient condition for when a nontrivial loop 
in 
determines a nontrivial loop 
in 
, where 
is a closed symplectic manifold such that 
.
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