Generalized SU (2) theta functions.
Aaron Bertram (1993)
Inventiones mathematicae
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Aaron Bertram (1993)
Inventiones mathematicae
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We propose a direction of study of nonabelian theta functions by establishing an analogy between the Weyl quantization of a one-dimensional particle and the metaplectic representation on the one hand, and the quantization of the moduli space of flat connections on a surface and the representation of the mapping class group on the space of nonabelian theta functions on the other. We exemplify this with the cases of classical theta functions and of the nonabelian theta functions for the...