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arxiv: 1209.1135 · v1 · pith:QWE5VGYOnew · submitted 2012-09-05 · 🧮 math.QA · math.CV· math.GT

Classical theta functions from a quantum group perspective

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keywords classicalfunctionsgroupquantumthetaabelianactionschern-simons
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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.

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