Séminaire Lotharingien de Combinatoire, B49c (2003), 45 pp.
Feynman Diagrams in Algebraic Combinatorics
We show, in great detail, how the perturbative tools of
quantum field theory allow one to rigorously obtain:
a ``categorified'' Faà 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
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.
Received: December 9, 2002.
Revised: August 17, 2003.
Accepted: November 4, 2003.
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