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.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 |
dc.identifier.orcid | https://orcid.org/0000-0001-9520-6535 | |
mit.license | OPEN_ACCESS_POLICY | en_US |
mit.metadata.status | Complete | |