The L2 geometry of vortex moduli spaces
1 hour 10 mins 27 secs,
293.49 MB,
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About this item
| Description: |
Speight, M (Leeds)
Thursday 24 February 2011, 15:30-16:30 |
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| Created: | 2011-03-04 10:30 | ||||
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| Collection: | Moduli Spaces | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Speight, M | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | Let L be a hermitian line bundle over a Riemann surface X. A vortex is a pair consisting of a section of and a connexion on L satisfying a certain pair of coupled differential equations similar to the Hitchin equations. The moduli space of vortices is topologically rather simple. The interesting point is that it has a canonical kaehler structure, geodesics of which are conjectured to approximate the low energy dynamics of vortices. In this talk I will review what is known about this kaehler geometry, focussing mainly on the cases where X is the plane, sphere or hyperbolic plane. |
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