Hopf Algebras and Topological Recursion

Hopf Algebras and Topological Recursion

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 O...

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Veröffentlicht in:arXiv.org 2015-10
1. Verfasser: Esteves, João N
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematics - Combinatorics
Mathematics - Mathematical Physics
Physics - Mathematical Physics
Topology
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1503.02993