An example concerning Hamiltonian groups of self product, II

We describe the natural identification of $FH_*(X \times X, \triangle; ω\oplus -ω)$ with $FH_*(X, ω)$. Under this identification, we show that the extra elements in $Ham(X \times X, ω\oplus -ω)$ found in (Part I), for $X = (S^2 \times S^2, ω_0 \oplus λω_0)$ for $λ> 1$, do not define new invertible elements in $FH_*(X, ω)$.

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