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Dzmitry Doryn: Feynman motives

Abstract:

In the article "On motives associated to graph polynomials"(Commun. Math. Phys, 2006)  S.Bloch, H.Esnault and D.Kreimer associate to the hypersurface of a Feynman graph a relative cohomology (called the Feynman motive). For denominator reducible graphs it is possible to define a framing of this motive in such a way that Feynman periods become the motivic meaning.

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