| dc.contributor.author | Ozsvath, Peter | |
| dc.contributor.author | Lipshitz, Robert | |
| dc.contributor.author | Thurston, Dylan P. | |
| dc.date.accessioned | 2013-09-13T12:35:45Z | |
| dc.date.available | 2013-09-13T12:35:45Z | |
| dc.date.issued | 2011-04 | |
| dc.date.submitted | 2010-12 | |
| dc.identifier.issn | 0027-8424 | |
| dc.identifier.issn | 1091-6490 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/80705 | |
| dc.description.abstract | Heegaard Floer theory is a kind of topological quantum field theory (TQFT), assigning graded groups to closed, connected, oriented 3-manifolds and group homomorphisms to smooth, oriented four-dimensional cobordisms. Bordered Heegaard Floer homology is an extension of Heegaard Floer homology to 3-manifolds with boundary, with extended-TQFT-type gluing properties. In this survey, we explain the formal structure and construction of bordered Floer homology and sketch how it can be used to compute some aspects of Heegaard Floer theory. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-0505811) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | National Academy of Sciences (U.S.) | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1073/pnas.1019060108 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | PNAS | en_US |
| dc.title | Low Dimensional Geometry and Topology Special Feature: Tour of bordered Floer theory | en_US |
| dc.title.alternative | Tour of bordered Floer theory | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Lipshitz, R., P. S. Ozsvath, and D. P. Thurston. “Low Dimensional Geometry and Topology Special Feature: Tour of bordered Floer theory.” Proceedings of the National Academy of Sciences 108, no. 20 (May 17, 2011): 8085-8092. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Ozsvath, Peter | en_US |
| dc.relation.journal | Proceedings of the National Academy of Sciences | en_US |
| dc.eprint.version | Final published version | 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 | Lipshitz, R.; Ozsvath, P. S.; Thurston, D. P. | en_US |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
