Feynman Diagrams in Algebraic Combinatorics
Séminaire lotharingien de combinatoire, Tome 49 (2002-2004)

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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 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.

@article{SLC_2002-2004_49_a2,
     author = {Abdelmalek Abdesselam},
     title = {Feynman {Diagrams} in {Algebraic} {Combinatorics}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {49},
     year = {2002-2004},
     url = {http://geodesic.mathdoc.fr/item/SLC_2002-2004_49_a2/}
}
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Abdelmalek Abdesselam. Feynman Diagrams in Algebraic Combinatorics. Séminaire lotharingien de combinatoire, Tome 49 (2002-2004). http://geodesic.mathdoc.fr/item/SLC_2002-2004_49_a2/