Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees

Gálvez-Carrillo, Imma, Kock, Joachim and Tonks, Andrew (2014) Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees. Advances in Mathematics, 254. pp. 79-117. ISSN 1090-2082

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Abstract / Description

We prove a Faa di Bruno formula for the Green function in the bialgebra of P-trees, for any polynomial endofunctor P. The formula appears as relative homotopy cardinality of an equivalence of groupoids.

Item Type: Article
Uncontrolled Keywords: Faà di Bruno formulae, Trees, Groupoids, Homotopy, cardinality, Polynomial functors, Bialgebras, Perturbative methods of renormalisation
Subjects: 500 Natural Sciences and Mathematics > 510 Mathematics
Department: School of Computing and Digital Media
Depositing User: Bal Virdee
Date Deposited: 18 Feb 2019 10:23
Last Modified: 18 Feb 2019 10:23
URI: http://repository.londonmet.ac.uk/id/eprint/4617

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