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Results tagged with co.combinatorics
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user 61197
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
15
votes
1
answer
932
views
Associativity of Kontsevich's star product up to second order
In Deformation quantization of Poisson manifolds, Kontsevich gives the quantization formula
$$f \star g = \sum_{n=0}^\infty \hbar^n \sum_{\Gamma \in G_n} w_\Gamma B_{\Gamma,\alpha}(f,g).$$
He gives …
- 832
6
votes
Accepted
Associativity of Kontsevich's star product up to second order
The answer is that the black underlined terms do not cancel.
Instead, they contribute an extra term which gives precisely the Jacobi identity (times $2/3$).
(The reason I missed this is that I prev …
- 832