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Feynman Diagrams in Algebraic Combinatorics

Abdelmalek Abdesselam
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Abstract

We show, in great detail, how the perturbative tools of quantum field theory allow one to rigorously obtain: a ``categorified'' Faa di Bruno type formula for multiple composition, an explicit formula for reversion and a proof of Lagrange-Good inversion, all in the setting of multivariable power series. We took great pains to offer a self-contained presentation that, we hope, will provide any mathematician who wishes, an easy access to the wonderland of quantum field theory.

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Abdelmalek Abdesselam. 2002-12-09. Feynman Diagrams in Algebraic Combinatorics. https://arxiv.org/abs/math/0212121

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