Skip to content Skip to navigation

An Example Concerning Hamiltonian Groups of Self Product II

Volume 14, Number 2 (2012), 234 - 247

An Example Concerning Hamiltonian Groups of Self Product II

Price: $20.00

Abstract

We describe the natural identification of $FH_*(X \times X, \triangle; \omega \oplus -\omega)$ with $FH_*(X, \omega)$. Under this identification, we show that the extra elements in $Ham(X \times X, \omega \oplus -\omega)$ found in [3], for $X = (S^2 \times S^2, \omega_0 \oplus \lambda \omega_0)$ for $\lambda > 1$, do not define new invertible elements in $FH_*(X, \omega)$.