An example concerning Hamiltonian groups of self product, II

Abstract

We describe the natural identification of $F{H}_{\ast }(X\times X,△;\omega \oplus -\omega )$ with $F{H}_{\ast }(X,\omega )$. Under this identification, we show that the extra elements in $Ham(X\times X,\omega \oplus -\omega )$ found in (Part I), for $X=(S^2\times S^2,{\omega }_0\oplus \lambda {\omega }_0)$ for $\lambda >1$, do not define new invertible elements in $F{H}_{\ast }(X,\omega )$.

This is the second of two short articles. They originally form one paper. After submission, it was split into two parts by the request of the Journal. They appeared in African Diaspora Journal of Mathematics