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Classical theta functions from a quantum group perspective

By Razvan Gelca and Alastair Hamilton

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

Topics: Mathematics - Quantum Algebra, Mathematics - Complex Variables, Mathematics - Geometric Topology, 81R50, 57M27, 14K25
Year: 2012
OAI identifier: oai:arXiv.org:1209.1135

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