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

Research output: Contribution to journal › Journal article › Research › peer-review

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. (C) 2013 Elsevier Inc. All rights reserved.

Original languageEnglish
JournalAdvances in Mathematics
Volume254
Pages (from-to)79-117
Number of pages39
ISSN0001-8708
DOIs
Publication statusPublished - 20 Mar 2014
Externally publishedYes

    Research areas

  • Trees, Groupoids, Homotopy cardinality, Polynomial functors, Bialgebras, Perturbative methods of renormalisation, DYSON-SCHWINGER EQUATIONS, QUANTUM-FIELD THEORY, HOPF-ALGEBRAS, RENORMALIZATION-GROUP, LIE-ALGEBRA, ELIMINATION, INSERTION, DUALITY

ID: 331500897