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

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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

Abstract

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.

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Details
Title:
Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees
Creators:
Gálvez-Carrillo, Imma, Kock, Joachim and Tonks, Andrew
Identification Number:
10.1016/j.aim.2013.12.015
Official URL:
https://www.sciencedirect.com/science/article/pii/...
Date:
14 January 2014
Subjects:
500 Natural Sciences and Mathematics > 510 Mathematics
Department:
School of Computing and Digital Media
Publisher:
Elsevier
Uncontrolled Keywords:
Faà di Bruno formulae, Trees, Groupoids, Homotopy, cardinality, Polynomial functors, Bialgebras, Perturbative methods of renormalisation
Record
URI:
https://repository.londonmet.ac.uk/id/eprint/4617
Item Type:
Article
Depositing User:
Balbir Virdee
Date Deposited:
18 Feb 2019 10:23
Revision:
11
Last Modified:
21 Apr 2020 13:20
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