Moment maps and diffeomorphisms (Q1585473)
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scientific article; zbMATH DE number 1531024
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Moment maps and diffeomorphisms |
scientific article; zbMATH DE number 1531024 |
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Moment maps and diffeomorphisms (English)
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15 November 2000
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Some times ago in a very nice paper, \textit{M. F. Atiyah} and \textit{R. Bott} [Philos. Trans. R. Soc. Lond., Ser. A 308, 523-615 (1983; Zbl 0509.14014)], proved that the curvature of a connection on a bundle over a surface can be viewed as the momentum corresponding to the action of the gauge group. In the paper under review the author develops some similar ideas in the framework of diffeomorphism groups. Moreover, a lot of applications are nicely pointed out.
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moment maps
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diffeomorphisms
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Lie groups
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0.8997427
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0.8992946
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