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

Author
Galvez, M.; Tonks, A.; Kock, J.
Type of activity
Report
Date
2012-07
Repository
http://hdl.handle.net/2117/16858 Open in new window
URL
http://arxiv.org/abs/1207.6404 Open in new window
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. For suitable choices of P, the result implies also formulae for Green functions in bialgebras of graphs
Citation
Galvez, M.; Tonks, A.; Kock, J. "Groupoids and Faà di Bruno Formulae for green functions in bialgebras of trees". 2012.
Group of research
GEOMVAP - Geometry of Manifolds and Applications

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