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Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees
journal contribution
posted on 2019-02-15, 09:32 authored by I Gálvez-Carrillo, J Kock, A TonksWe 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.
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Citation
Advances in Mathematics, 2014, 254, pp. 79-117Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- AM (Accepted Manuscript)
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Advances in MathematicsPublisher
Elsevier for Academic Pressissn
0001-8708eissn
1090-2082Acceptance date
2013-12-05Copyright date
2013Available date
2019-02-15Publisher DOI
Publisher version
https://www.sciencedirect.com/science/article/pii/S0001870813004623?via=ihubLanguage
enAdministrator link
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