The dimensions and Euler characteristics of M. Kontsevich's graph complexes

Published 20 Jan 2014 in math.QA and math.CO | (1401.4974v2)

Abstract: We provide a generating function for the (graded) dimensions of M. Kontsevich's graph complexes of ordinary graphs. This generating function can be used to compute the Euler characteristic in each loop order. Furthermore, we show that graphs with multiple edges can be omitted from these graph complexes.

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