We review the basic definitions in Fulton-MacPherson Intersection Theory and discuss
a theory of `characteristic classes' for arbitrary algebraic varieties, based on this
intersection theory. We also discuss a class of graph invariants motivated by
amplitude computations in quantum field theory. These `abstract Feynman rules'
are obtained by studying suitable invariants of hypersurfaces defined by the
Kirchhoff-Tutte-Symanzik polynomials of graphs. We review a `motivic' version
of these abstract Feynman rules, and describe a counterpart obtained by
intersection-theoretic techniques.
Volume 383 -
MathemAmplitudes 2019: Intersection Theory & Feynman Integrals (MA2019) -
Session 1: Hypergeometric Functions and Intersection Theory
Intersection theory, characteristic classes, and algebro-geometric Feynman rules
Full text:
pdf
Published on:
February 15, 2022
Abstract
DOI: https://doi.org/10.22323/1.383.0012
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.
Open Access
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.