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International Mathematics Research Notices Advance Access published online on September 25, 2009
International Mathematics Research Notices, doi:10.1093/imrn/rnp155
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© The Author 2009. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

On the (Ir)rationality of Kontsevich Weights

Giovanni Felder and Thomas Willwacher

Department of Mathematics, ETH Zurich, Rämistrasse 101, 8092 Zurich, Switzerland

Correspondence: Correspondence to be sent to: thomas.willwacher{at}math.ethz.ch

We compute the weight of a particular Kontsevich graph in deformation quantization. Up to rationals, the result is {zeta} (3)2/{pi}6. Hence, it is probably not true that all Kontsevich weights are rational.


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