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...
Main Authors: | , |
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Other Authors: | |
Format: | Article |
Language: | en_US |
Published: |
Springer-Verlag
2012
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Online Access: | http://hdl.handle.net/1721.1/70476 https://orcid.org/0000-0001-9520-6535 |