Abstract
The main character of these lectures is a finite-dimensional vector space, the space of generalized (or non-Abelian) theta functions, which has recently appeared in (at least) three different domains: Conformal Field Theory (CFT), Topological Quantum Field Theory (TQFT), and Algebraic Geometry. The fact that the same space appears in such different frameworks has some fascinating consequences, which have not yet been fully explored. For instance the dimension of this space can be computed by CFT-type methods, while algebraic geometers would have never dreamed of being able to perform such a computation.
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Beauville, A. (1996). Vector Bundles on Riemann Surfaces and Conformal Field Theory. In: de Monvel, A.B., Marchenko, V. (eds) Algebraic and Geometric Methods in Mathematical Physics. Mathematical Physics Studies, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0693-3_7
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DOI: https://doi.org/10.1007/978-94-017-0693-3_7
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