Vanishing of the Kontsevich Integrals of the Wheels
By B. Shoikhet. 2000
57 citations recorded by the source corpus.
We prove that the Kontsevich integrals (in the sense of the formality theorem) of all even wheels are equal to zero. These integrals appear in the approach to the Duflo formula via the formality theorem. The result means that for any finite-dimensional Lie algebra g, and for invariant polynomials f, g ∈ [S·(g)]g one has f · g = f * g, where * is the Kontsevich star product, corresponding to the Kirillov–Poisson structure on g*. We deduce this theorem form the result contained in math.QA/0010321 on the deformation quantization with traces.
Subfields: Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/fd460f26ac4039dec5adbdf36e17a8fbbda20164
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In Algebra and Number Theory
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- M. Kontsevich’s graph complex and the Grothendieck–Teichmüller Lie algebra (2010, background): “It is been shown in [15] and [19] that from UK one obtains the original Duflo morphism.”