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

Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks

Research output: Contribution to journalArticleResearchpeer-review

8 Citations (Scopus)

Abstract

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. © 2013 Elsevier Inc.
Original languageEnglish
Pages (from-to)79-117
JournalAdvances in Mathematics
Volume254
DOIs
Publication statusPublished - 20 Mar 2014

Keywords

  • Bialgebras
  • Groupoids
  • Homotopy cardinality
  • Perturbative methods of renormalisation
  • Polynomial functors
  • Trees

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