The mod 2 cohomology of fixed point sets of anti-symplectic involutions

Daniel Biss, Victor W. Guillemin, Tara S. Holm

Let $M$ be a compact, connected symplectic manifold with a Hamiltonian action of a compact $n$-dimensional torus $G=T^n$. Suppose that $\sigma$ is an anti-symplectic involution compatib…