| dc.contributor.author | Kronheimer, Peter | |
| dc.contributor.author | Mrowka, Tomasz S | |
| dc.date.accessioned | 2020-09-21T21:55:46Z | |
| dc.date.available | 2020-09-21T21:55:46Z | |
| dc.date.issued | 2018-09 | |
| dc.identifier.issn | 1435-9855 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/127673 | |
| dc.description.abstract | We use SO(3) gauge theory to define a functor from a category of unoriented webs and foams to the category of finite-dimensional vector spaces over the field of two elements. We prove a non-vanishing theorem for this SO(3) instanton homology of webs, using Gabai’s sutured manifold theory. It is hoped that the non-vanishing theorem may support a program to provide a new proof of the four-color theorem. | en_US |
| dc.description.sponsorship | NSF (Grants DMS-0805841 and DMS-1406348) | en_US |
| dc.language.iso | en | |
| dc.publisher | European Mathematical Society Publishing House | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.4171/jems/831 | 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 | other univ website | en_US |
| dc.title | Tait colorings, and an instanton homology for webs and foams | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Kronheimer, Peter and Tomasz Mrowka. "Tait colorings, and an instanton homology for webs and foams." Journal of the European Mathematical Society 21, 1 (September 2018): 55-119 © 2019 European Mathematical Society | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Journal of the European Mathematical Society | 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 |
| dc.date.updated | 2019-11-18T14:39:30Z | |
| dspace.date.submission | 2019-11-18T14:39:36Z | |
| mit.journal.volume | 21 | en_US |
| mit.journal.issue | 1 | en_US |
| mit.metadata.status | Complete | |
