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Dec 26, 2016 at 3:02 comment added Ben Webster I don't think there's any particularly good reason for this. Moment maps are a basically infinitesimal notion, so generally people don't worry a tremendous amount about non-connected groups. I also believe that if $G$ has finitely many components, one can just average to get an equivariant moment map from one equivariant on the connected component of the identity (just as one can fix a lack of infinitesimal equivariance by passing to a central extension).
Dec 26, 2016 at 0:06 history asked Pedro CC BY-SA 3.0