| dc.contributor.author | Kronheimer, P. B. | |
| dc.contributor.author | Mrowka, Tomasz S. | |
| dc.date.accessioned | 2015-01-22T21:15:24Z | |
| dc.date.available | 2015-01-22T21:15:24Z | |
| dc.date.issued | 2013-04 | |
| dc.date.submitted | 2012-08 | |
| dc.identifier.issn | 1753-8416 | |
| dc.identifier.issn | 1753-8424 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/93159 | |
| dc.description.abstract | Using a version of instanton homology, an integer invariant s[superscript ♯](K) is defined for knots K in S[superscript 3]. This invariant is shown to be equal to Rasmussen's s-invariant. While Rasmussen's invariant provides a lower bound for 2 g(Σ) for any surface Σ in B[superscript 4] with boundary K, it is shown in this paper that s[superscript ♯](K) (and therefore s(K)) similarly bounds the genus of such a surface Σ in any homotopy 4-ball. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-0805841) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Oxford University Press - London Mathematical Society | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1112/jtopol/jtt008 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Gauge theory and Rasmussen's invariant | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Kronheimer, P. B., and T. S. Mrowka. “Gauge Theory and Rasmussen’s Invariant.” Journal of Topology 6.3 (April 7, 2013): 659–674. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Mrowka, Tomasz S. | en_US |
| dc.relation.journal | Journal of Topology | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Kronheimer, P. B.; Mrowka, T. S. | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0001-9520-6535 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
