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Flat connections and geometric quantization. (English) Zbl 0718.53021
Using the space of holomorphic symmetric tensors on the moduli space of stable bundles over a Riemannian surface, a projectively flat connection on a vector bundle over a Teichmüller space is constructed. The fibre of the vector bundle consists of the global sections of a power of the determinant bundle on the moduli space.
Reviewer: H.Baum (Berlin)

MSC:
53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
81T70 Quantization in field theory; cohomological methods
53D50 Geometric quantization
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