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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Bibliographic Details
Main Authors: Mrowka, Tomasz S. (Contributor), Wehrheim, Katrin (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2012-04-27T22:25:11Z.
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