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

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journal contribution
posted on 15.02.2019, 09:32 by I Gálvez-Carrillo, J Kock, A Tonks
We prove a Faà 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.

Funding

The authors acknowledge the following MTM grants from the Spanish Government (MINECO) and SGR grants from the Generalitat de Catalunya. The first author was partially supported by grants MTM2010-15831, MTM2010-20692, SGR1092-2009, and MTM2012-38122-C03-01, the second author by MTM2009-10359, MTM2010-20692, and SGR1092-2009, and the third author by MTM2010-15831, SGR119-2009.

History

Citation

Advances in Mathematics, 2014, 254, pp. 79-117

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Advances in Mathematics

Publisher

Elsevier for Academic Press

issn

0001-8708

eissn

1090-2082

Acceptance date

05/12/2013

Copyright date

2013

Available date

15/02/2019

Publisher version

https://www.sciencedirect.com/science/article/pii/S0001870813004623?via=ihub

Language

en

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