Schottky vertex operator cluster algebras
A. Zuevsky

TL;DR
This paper introduces a new algebraic structure called vertex operator cluster algebras, extending cluster algebra concepts to higher genus Riemann surfaces using vertex operator algebra techniques.
Contribution
It defines the notion of vertex operator cluster algebra, including elements and mutation rules, and provides the simplest example of such a structure.
Findings
Defined vertex operator cluster algebra structure
Explicitly formulated cluster elements and mutations
Presented the simplest example of the structure
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Matrix Theory and Algorithms
