An example concerning Hamiltonian groups of self product, I

We show that $(S^2\times S^2, ω_0 \oplus λω_0)$, with $λ> 1$, is an example of symplectic manifold $(X, ω)$ such that the $π_1 Ham(X \times X, ω\oplus -ω)$ contains extra elements than those from $π_1 Ham(X, ω) \times π_1 Ham(X, -ω)$.

No reviews yet.

No comments yet.