dc.contributor.author | Kronheimer, P. B. | |
dc.contributor.author | Mrowka, Tomasz S | |
dc.date.accessioned | 2018-05-31T13:53:56Z | |
dc.date.available | 2018-05-31T13:53:56Z | |
dc.date.issued | 2016-05 | |
dc.identifier.issn | 1753-8416 | |
dc.identifier.issn | 1753-8424 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/116014 | |
dc.description.abstract | The SO(3) instanton homology recently introduced by the authors associates a finite-dimensional vector space over the field of two elements to every embedded trivalent graph (or "web"). The present paper establishes a skein exact triangle for this instanton homology, as well as a realization of the octahedral axiom. From the octahedral diagram, one can derive equivalent reformulations of the authors' conjecture that, for planar webs, the rank of the instanton homology is equal to the number of Tait colorings. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-0805841) | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1406348) | en_US |
dc.publisher | Oxford University Press (OUP) | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1112/JTOPOL/JTW010 | 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 | Exact Triangles for SO(3) Instanton Homology of Webs | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Kronheimer, P. B., and T. S. Mrowka. “Exact Triangles for SO(3) Instanton Homology of Webs.” Journal of Topology 9, 3 (May 2016): 774–796 © 2016 London Mathematical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Mrowka, Tomasz S | |
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 |
dc.date.updated | 2018-05-29T16:43:41Z | |
dspace.orderedauthors | Kronheimer, P. B.; Mrowka, T. S. | en_US |
dspace.embargo.terms | N | en_US |
dc.identifier.orcid | https://orcid.org/0000-0001-9520-6535 | |
mit.license | OPEN_ACCESS_POLICY | en_US |