Xiang-Mao Ding, Yuping Li, Lingxian Meng
Published 2016-07-27Version 1
We show that there exists a Hopf algebraic structure for the topological recursion on arbitrary algebraic curves proposed by B. Eynard and N. Orantin, which include the one-loop equations of various matrix integrals as special cases.
Comments: 26 pages, many figures
Whittaker vectors for $\mathcal{W}$-algebras from topological recursion
Hurwitz numbers and matrix integrals labeled with chord diagrams
Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map
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