Timeline for Symplectic Reduction on infinite dimensional manifolds
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 21, 2022 at 15:36 | comment | added | LSpice | Names of references: 'here' is Kriegl and Michor - The convenient setting of global analysis; the first 'this paper' is Michor and Mumford - An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach; and the second 'this paper' is Micheli, Michor, and Mumford - Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. | |
| Feb 5, 2016 at 9:42 | history | edited | Peter Michor | CC BY-SA 3.0 |
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| Feb 5, 2016 at 6:08 | comment | added | Varun | Thanks for the comment and the reference! You mention in section 48.2 that "..in order to have a strongly symplectic structure, the fibres of $T\mathcal{N}$ should be reflexive". So I presume that in order to have a strongly symplectic structure one may have to resort to Sobolev setting, especially if one wishes to carry out the Marsden-Weinstein symplectic reduction in infinite dimensions? | |
| Feb 4, 2016 at 19:26 | history | answered | Peter Michor | CC BY-SA 3.0 |