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arxiv: 1406.4269 · v1 · pith:G2PSRJPEnew · submitted 2014-06-17 · 🧮 math.QA · math-ph· math.MP

The topological quantum field theory of Riemann's theta functions

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keywords fieldfunctionsgroupsquantumriemanntheorythetatopological
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In this paper we prove the existence and uniqueness of a topological quantum field theory that incorporates, for all Riemann surfaces, the corresponding spaces of theta functions and the actions of the Heisenberg groups and modular groups on them.

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