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arXiv · 1207.6404

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

Imma Galvez-Carrillo·Joachim Kock·Andrew Tonks
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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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Imma Galvez-Carrillo, Joachim Kock, Andrew Tonks. 2013-11-02. Groupoids and Faa di Bruno formulae for Green functions in bialgebras of trees. https://doi.org/10.1016/j.aim.2013.12.015

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