New York Journal of Mathematics
Volume 21 (2015) 93-127

  

Răzvan Gelca and Alastair Hamilton

Classical theta functions from a quantum group perspective

view    print


Published: February 19, 2015
Keywords: Abelian Chern-Simons theory, theta functions, quantum groups
Subject: 81R50, 57M27, 14K25

Abstract
In this paper we show how to model classical theta functions using the quantum group of abelian Chern-Simons theory. We describe the representation of the Heisenberg and mapping class groups in this setting.

Acknowledgements

Research of the first author partially supported by the NSF, award No. DMS 0604694
Research of the second author partially supported by the Simons Foundation, award No. 279462


Author information

Răzvan Gelca:
Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042. USA.
rgelca@gmail.com

Alastair Hamilton:
Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042. USA.
alastair.hamilton@ttu.edu