English

Classical theta functions from a quantum group perspective

Quantum Algebra 2012-09-07 v1 Complex Variables Geometric Topology

Abstract

In this paper we construct the quantum group, at roots of unity, of abelian Chern-Simons theory. We then use it to model classical theta functions and the actions of the Heisenberg and modular groups on them.

Keywords

Cite

@article{arxiv.1209.1135,
  title  = {Classical theta functions from a quantum group perspective},
  author = {Razvan Gelca and Alastair Hamilton},
  journal= {arXiv preprint arXiv:1209.1135},
  year   = {2012}
}
R2 v1 2026-06-21T22:00:35.270Z