In the following question we have a principal bundle M \to X where the group structure is a Lie group G with Lie algebra g. The total space is a symplectic manifold acted symplectically by G. The goal is to associate some invariant to this structure. To do that we pose some questions which are mentioned in the following question. I would appreciate if you give comments on these questions.

Best regards,

Ali Taghavi

https://mathoverflow.net/questions/451250/invariants-associated-to-a-principal-bundle-whose-total-space-is-a-symplectic-ma