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Topological graph polynomials in colored group field theory. (English) Zbl 1208.81153
Summary: In this paper, we analyze the open Feynman graphs of the Colored Group Field Theory introduced in R. Gurau [Colored group field theory, arXiv:0907.2582 [hep-th]]. We define the boundary graph \({\mathcal G}_\partial\) of an open graph \({\mathcal G}\) and prove it is a cellular complex. Using this structure we generalize the topological (Bollobás-Riordan) Tutte polynomials associated to (ribbon) graphs to topological polynomials adapted to Colored Group Field Theory graphs in arbitrary dimension.

81T18 Feynman diagrams
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