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Results tagged with symplectic-topology
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user 391
4
votes
Accepted
Relation between volume of reduced space and phase space
Not a lot. Instead you should generalize $Vol(M)$, the pushforward of Liouville measure to a point, to $Vol_G(M)$, the pushforward along the moment map. I'll assume $G=T$ for convenience.
The result i …
- 27.9k
17
votes
Understanding moment maps and Lie brackets
I believe the following way (Kostant's, 1970) to be the best way to think about the Hamiltonian condition.
First, "why" is there a central extension $H^0(M; {\mathbb R}) \to C^\infty (M) \to symp(M)$ …
- 27.9k