English

On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras

Number Theory 2020-07-02 v3 Quantum Algebra Representation Theory

Abstract

Using techniques from the theory of mock modular forms and harmonic Maass forms, especially Weierstrass mock modular forms, we establish several dimension formulas for certain strongly rational, holomorphic vertex operator algebras, complementing previous work by van Ekeren, M\"oller, and Scheithauer.

Keywords

Cite

@article{arxiv.1910.06942,
  title  = {On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras},
  author = {Lea Beneish and Michael H. Mertens},
  journal= {arXiv preprint arXiv:1910.06942},
  year   = {2020}
}

Comments

v3: 28 pages, some minor typos fixed, incorporating referee's comments. Final version accepted for publication

R2 v1 2026-06-23T11:44:35.217Z