Hopf Algebras and Topological Recursion
Mathematical Physics
2022-05-02 v3 Combinatorics
math.MP
Abstract
We consider a model for topological recursion based on the Hopf Algebra of planar binary trees of Loday and Ronco. We show that extending this Hopf Algebra by identifying pairs of nearest neighbor leaves and producing in this way graphs with loops we obtain the full recursion formula of Eynard and Orantin.
Keywords
Cite
@article{arxiv.1503.02993,
title = {Hopf Algebras and Topological Recursion},
author = {João N. Esteves},
journal= {arXiv preprint arXiv:1503.02993},
year = {2022}
}
Comments
Final version published in J. Phys. A: Math. Theor. Some misprints corrected