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Results tagged with sg.symplectic-geometry
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user 7031
Hamiltonian systems, symplectic flows, classical integrable systems
2
votes
Accepted
About the geometry of completely integrable systems
preliminary remark
I assume that being independant for functions here means that their differentials at any point are linearly indenpendant (and not at almost any point, like it is sometimes assumed. …
- 8,445
9
votes
Lagrangian Submanifolds in Deformation Quantization
One has to choose an identification of a tubular neighborhood $U$ of $L$ in $M$ with a tubular neighborhood $V$ of the zero section of the normal bundle $NL$.
Once one has done this, it means that w …
- 8,445
2
votes
What's the relation between the heat kernel proof of the index theorem and deformation quant...
I think you should have a look at the various papers of Louis Boutet de Monvel. But there is actually a construction of star-products on a symplectic manifold which makes use of the index theorem, due …
- 8,445
5
votes
Quantization of conjugacy classes in a Lie group
Joseph Donin and Andrei Mudrov have worked a lot on this question... the quantization of conjugacy classes seems to be related to dynamical r-matrices and and the so-called reflection equation. See e. …
- 8,445
8
votes
Theory of $n$-truncated $A_\infty$ categories/functors?
$A_n$-spaces are already discussed in the original paper of Stasheff, Homotopy associativity of H-spaces, I and II.
In the linear setting, $A_n$-algebras are discussed e.g. in A∞-algebras, spectral se …
- 8,445
5
votes
What is the current status of derived differential geometry?
I would recommend that you read the introduction of Pelle Steffens's foundational preprint on Derived $C^\infty$ geometry. The preprint is 205 pages long, but the introduction is "only" 35 pages :-)
I …
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