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arxiv: 1207.6404 · v2 · pith:ILJYVRRWnew · submitted 2012-07-26 · 🧮 math.QA · math-ph· math.CT· math.MP

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

Imma Galvez-Carrillo , Joachim Kock , Andrew Tonks This is my paper
classification 🧮 math.QA math-phmath.CTmath.MP
keywords brunoformulagreengroupoidsappearsbialgebrabialgebrascardinality
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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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