Inversion of integral series enumerating planar trees
Combinatorics
2007-05-23 v2 Algebraic Topology
Abstract
We consider an integral series f(X,t) which depends on the choice of a set X of labelled planar rooted trees. We prove that its inverse for composition is of the form f(Z,t) for another set Z of trees, deduced from X. The proof is self-contained, though inspired by the Koszul duality theory of quadratic operads.
Keywords
Cite
@article{arxiv.math/0403316,
title = {Inversion of integral series enumerating planar trees},
author = {Jean-Louis Loday},
journal= {arXiv preprint arXiv:math/0403316},
year = {2007}
}
Comments
Minor modifications and reference to further work