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dc.contributor.authorKronheimer, P. B.
dc.contributor.authorMrowka, Tomasz S
dc.date.accessioned2018-05-31T13:53:56Z
dc.date.available2018-05-31T13:53:56Z
dc.date.issued2016-05
dc.identifier.issn1753-8416
dc.identifier.issn1753-8424
dc.identifier.urihttp://hdl.handle.net/1721.1/116014
dc.description.abstractThe 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.sponsorshipNational Science Foundation (U.S.) (Grant DMS-0805841)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant DMS-1406348)en_US
dc.publisherOxford University Press (OUP)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1112/JTOPOL/JTW010en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleExact Triangles for SO(3) Instanton Homology of Websen_US
dc.typeArticleen_US
dc.identifier.citationKronheimer, 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 Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorMrowka, Tomasz S
dc.relation.journalJournal of Topologyen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2018-05-29T16:43:41Z
dspace.orderedauthorsKronheimer, P. B.; Mrowka, T. S.en_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-9520-6535
mit.licenseOPEN_ACCESS_POLICYen_US


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