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The topological quantum field theory of Riemann’s theta functions |
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| Institution: | Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USA |
| Abstract: | 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. |
| Keywords: | Theta functions Topological quantum field theory Low-dimensional topology Modular groups Skein theory Quantization |
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