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Feynman motives of banana graphs

Aluffi, Paolo and Marcolli, Matilde (2008) Feynman motives of banana graphs. . (Submitted)

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We consider the infinite family of Feynman graphs known as the “banana graphs” and compute explicitly the classes of the corresponding graph hypersurfaces in the Grothendieck ring of varieties as well as their Chern–Schwartz–MacPherson classes, using the classical Cremona transformation and the dual graph, and a blowup formula for characteristic classes. We outline the interesting similarities between these operations and we give formulae for cones obtained by simple operations on graphs. We formulate a positivity conjecture for characteristic classes of graph hypersurfaces and discuss briefly the effect of passing to noncommutative spacetime.

Item Type:Report or Paper (Discussion Paper)
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Additional Information:(Submitted on 10 Jul 2008 (v1), last revised 16 Jul 2008 (this version, v2).
Record Number:CaltechAUTHORS:20170712-091134506
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78997
Deposited By: Ruth Sustaita
Deposited On:12 Jul 2017 16:23
Last Modified:03 Oct 2019 18:14

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