Seidel's Representation on the Hamiltonian Group of a Cartesian Product

@inproceedings{PedrozaSeidelsRO,
  title={Seidel's Representation on the Hamiltonian Group of a Cartesian Product},
  author={Andr{\'e}s Pedroza}
}
  • Andrés Pedroza
Let (M, ω) be a closed symplectic manifold and Ham(M, ω) the group of Hamiltonian diffeomorphisms of (M, ω). Then the Seidel homomor-phism is a map from the fundamental group of Ham(M, ω) to the quantum homology ring QH * (M ; Λ). Using this homomorphism we give a sufficient condition for when a nontrivial loop ψ in Ham(M, ω) determines a nontrivial loop… CONTINUE READING