期刊论文详细信息
Canadian mathematical bulletin | |
Central Extensions of Loop Groups and Obstruction to Pre-Quantization | |
Derek Krepski1  | |
[1] Department of Mathematics and Statistics, McMaster University, Hamilton, ON | |
关键词: loop group; central extension; prequantization; | |
DOI : 10.4153/CMB-2011-131-6 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
An explicit construction of a pre-quantum line bundle for the modulispace of flat $G$-bundles over a Riemann surface is given, where $G$is any non-simply connected compact simple Lie group. This work helpsto explain a curious coincidence previously observed betweenToledano Laredo's work classifying central extensions of loop groups$LG$ and the author's previous work on the obstruction topre-quantization of the moduli space of flat $G$-bundles.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050576925ZK.pdf | 36KB | download |