L²-topology and Lagrangians in the space of connections over a Riemann surface
We examine the L²-topology of the gauge orbits over a closed Riemann surface. We prove a subtle local slice theorem based on the div-curl lemma of harmonic analysis, and deduce local pathwise connectedness of the gauge orbits. Based on a quantitative version of the connectivity, we generalize compac...
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Format: | Article |
Language: | English |
Published: |
Springer-Verlag,
2012-04-27T22:25:11Z.
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Subjects: | |
Online Access: | Get fulltext |