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Parabolic vortex equations and instantons of infinite energy

✍ Scribed by Olivier Biquard; Oscar García-Prada

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
801 KB
Volume
21
Category
Article
ISSN
0393-0440

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✦ Synopsis

We study the vortex equations on parabolic bundles over a Riemann surface and prove a Hitchin-Kobayashi-type correspondence relating the existence of solutions to a certain stability condition. This is achieved by translating our problem into a four-dimensional one, via dimensional reduction arguments. In return we obtain examples of instantons of infinite energy.

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