Advanced Search
DSpace@MIT

L²-topology and Lagrangians in the space of connections over a Riemann surface

Research and Teaching Output of the MIT Community

Show simple item record

dc.contributor.author Mrowka, Tomasz S.
dc.contributor.author Wehrheim, Katrin
dc.date.accessioned 2012-04-27T22:25:11Z
dc.date.available 2012-04-27T22:25:11Z
dc.date.issued 2010-11
dc.date.submitted 2010-05
dc.identifier.issn 1016-443X
dc.identifier.issn 1420-8970
dc.identifier.uri http://hdl.handle.net/1721.1/70476
dc.description.abstract 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 compactness results for anti-self-dual instantons with Lagrangian boundary conditions to general gauge-invariant Lagrangian submanifolds. This provides the foundation for the construction of instanton Floer homology for pairs of a 3-manifold with boundary and a Lagrangian in the configuration space over the boundary. en_US
dc.language.iso en_US
dc.publisher Springer-Verlag en_US
dc.relation.isversionof http://dx.doi.org/10.1007/s00039-010-0086-3 en_US
dc.rights Creative Commons Attribution-Noncommercial-Share Alike 3.0 en_US
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/ en_US
dc.source arXiv en_US
dc.title L²-topology and Lagrangians in the space of connections over a Riemann surface en_US
dc.title.alternative L-2-topology and Lagrangians in the space of connections over a Riemann surface en_US
dc.type Article en_US
dc.identifier.citation Mrowka, Tomasz S., and Katrin Wehrheim. “L 2-Topology and Lagrangians in the Space of Connections Over a Riemann Surface.” Geometric and Functional Analysis 20.5 (2010): 1278–1305. Web. 27 Apr. 2012. © 2010 Springer-Verlag en_US
dc.contributor.department Massachusetts Institute of Technology. Department of Mathematics en_US
dc.contributor.approver Mrowka, Tomasz S.
dc.contributor.mitauthor Mrowka, Tomasz S.
dc.contributor.mitauthor Wehrheim, Katrin
dc.relation.journal Geometric and Functional Analysis en_US
dc.identifier.mitlicense OPEN_ACCESS_POLICY en_US
dc.eprint.version Author's final manuscript en_US
dc.type.uri http://purl.org/eprint/type/JournalArticle en_US
eprint.status http://purl.org/eprint/status/PeerReviewed en_US
dspace.orderedauthors Mrowka, Tomasz S.; Wehrheim, Katrin en


Files in this item

Name Size Format
Downloadable Full Text - PDF

This item appears in the following Collection(s)

Show simple item record

Creative Commons Attribution-Noncommercial-Share Alike 3.0 Except where otherwise noted, this item's license is described as Creative Commons Attribution-Noncommercial-Share Alike 3.0
Open Access