Flat connections and geometric quantization. Hitchin, N. J. Communications in Mathematical Physics, 131(2):347–380, July, 1990.
Paper doi abstract bibtex Using the space of holomorphic symmetric tensors on the moduli space of stable bundles over a Riemann surface we construct a projectively flat connection on a vector bundle over Teichmϋller space. The fibre of the vector bundle consists of the global sections of a power of the determinant bundle on the moduli space. Both Dolbeault and Cech techniques are used.
@article{hitchin_flat_1990,
title = {Flat connections and geometric quantization},
volume = {131},
issn = {0010-3616, 1432-0916},
url = {http://link.springer.com/10.1007/BF02161419},
doi = {10.1007/BF02161419},
abstract = {Using the space of holomorphic symmetric tensors on the moduli space of stable bundles over a Riemann surface we construct a projectively flat connection on a vector bundle over Teichmϋller space. The fibre of the vector bundle consists of the global sections of a power of the determinant bundle on the moduli space. Both Dolbeault and Cech techniques are used.},
language = {en},
number = {2},
urldate = {2019-03-10},
journal = {Communications in Mathematical Physics},
author = {Hitchin, N. J.},
month = jul,
year = {1990},
pages = {347--380}
}
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