On the (ir)rationality of Kontsevich weights
Giovanni Felder, Thomas Willwacher
TL;DR
This paper calculates the weight of a Kontsevich graph in deformation quantization, revealing a result involving zeta functions and pi, which advances understanding of the mathematical structure underlying quantum deformation.
Contribution
It provides an explicit computation of Kontsevich graph weights, connecting them to special values of zeta functions and pi, enhancing the mathematical foundation of deformation quantization.
Findings
Weight of the Kontsevich graph is Zeta(3)^2/Pi^6 up to rational factors.
Connects Kontsevich weights to special values of zeta functions.
Advances the explicit understanding of deformation quantization structures.
Abstract
We compute the weight of a Kontsevich graph in deformation quantization. Up to rationals, the result is Zeta(3)^2/Pi^6.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.