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., Wehrheim, Katrin
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer-Verlag 2012
Online Access:http://hdl.handle.net/1721.1/70476
https://orcid.org/0000-0001-9520-6535