Classical theta functions from a quantum group perspective

2012/09/05 by Răzvan Gelca, Gelca, Razvan, Alastair Hamilton +1 · 1 citation
Mathematics · #14K25 #57M27 #81R50 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1209.1135

openalex publication_date 2012/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Invariants of 3-manifolds via link polynomials and quantum groups

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• Eventually periodic resolutions with applications to integral group rings

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