Non-symplectic Group Actions

Krzysztof Pawałowski
Friday, July 26, 2013 - from 17:30 to 17:55
We construct smooth actions of any compact Lie group $G$ on symplectic manifolds, including complex projective spaces, such that the actions are not symplectic with respect to any possible symplectic structure on the manifolds in question. Such examples were obtained for the first time in [1] in the case where $G = S^1$, and then in [2] for any compact Lie group $G$.