Timeline for Is every symplectic manifold a Hamiltonian reduction of a cotangent bundle?
Current License: CC BY-SA 3.0
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| Dec 6, 2013 at 3:32 | history | edited | Francois Ziegler | CC BY-SA 3.0 |
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| Dec 6, 2013 at 3:32 | comment | added | Francois Ziegler | @Qiaochu You're right, this is "Cartan" reduction -- the quotient of a submanifold $N$ by the characteristic foliation of $\omega_{|N}$ (assumed constant rank) on it. I wonder (but haven't really thought through) whether there might be a moment map interpretation when $N$ happens to be a level set of some functions? | |
| Dec 6, 2013 at 2:54 | comment | added | Qiaochu Yuan | Thanks! The word "reduction" in the last sentence seems to be referring to a construction more general than Hamiltonian reduction though, if I'm not mistaken. | |
| Dec 6, 2013 at 2:12 | history | answered | Francois Ziegler | CC BY-SA 3.0 |