English

Schottky vertex operator cluster algebras

Functional Analysis 2020-12-15 v1

Abstract

Using recursion formulas for vertex operator algebra higher genus characters with formal parameters identified with local coordinates around marked points on a Riemann surface of arbitrary genus, we introduce the notion of a vertex operator cluster algebra structure. Cluster elements and mutation rules are explicitly defined, and the simplest example of a vertex operator cluster algebra is presented.

Keywords

Cite

@article{arxiv.2012.07411,
  title  = {Schottky vertex operator cluster algebras},
  author = {A. Zuevsky},
  journal= {arXiv preprint arXiv:2012.07411},
  year   = {2020}
}
R2 v1 2026-06-23T20:56:51.004Z