Pre-quantization of the moduli space of flat G-bundles over a surface |
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Authors: | Derek Krepski |
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Institution: | University of Toronto, Toronto, ON M5S 2E4, Canada |
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Abstract: | For a simply connected, compact, simple Lie group G, the moduli space of flat G-bundles over a closed surface Σ is known to be pre-quantizable at integer levels. For non-simply connected G, however, integrality of the level is not sufficient for pre-quantization, and this paper determines the obstruction–namely a certain cohomology class in H3(G2;Z)–that places further restrictions on the underlying level. The levels that admit a pre-quantization of the moduli space are determined explicitly for all non-simply connected, compact, simple Lie groups G. |
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Keywords: | 53D50 57T10 |
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