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Categories generated by a trivalent vertex

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dc.contributor.authorMorrison, Scott
dc.contributor.authorPeters, Emily
dc.contributor.authorSnyder, Noah
dc.date.accessioned2021-05-20T00:45:39Z
dc.date.issued2017
dc.date.updated2020-11-23T10:17:49Z
dc.description.abstractThis is the first paper in a general program to automate skein theoretic arguments. In this paper, we study skein theoretic invariants of planar trivalent graphs. Equivalently, we classify trivalent categories, which are nondegenerate pivotal tensor categories over C generated by a symmetric self-dual simple object X and a rotationally invariant morphism 1 → X⊗X⊗X.en_AU
dc.description.sponsorshipScott Morrison was supported by an Australian Research Council Discovery Early Career Researcher Award DE120100232, and Discovery Projects DP140100732 and DP160103479. Emily Peters was supported by the NSF Grant DMS-1501116. Noah Snyder was supported by the NSF Grant DMS-1454767. All three authors were supported by DOD-DARPA Grant HR0011-12-1-0009.
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1022-1824en_AU
dc.identifier.urihttp://hdl.handle.net/1885/233371
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/14493..."Author Accepted Manuscript can be made open access on institutional repository after 12 month embargo" from SHERPA/RoMEO site (as at 16.9.2021).
dc.publisherSpringer Verlagen_AU
dc.relation.urihttp://purl.org/au-research/grants/arc/DE120100232
dc.relation.urihttp://purl.org/au-research/grants/arc/DP140100732
dc.relation.urihttp://purl.org/au-research/grants/arc/DP160103479
dc.rights© Springer International Publishing 2016en_AU
dc.sourceSelecta Mathematicaen_AU
dc.subject18D10 (Monoidal Categories)en_AU
dc.subject05C10 (Planar graphs; geometric and topological aspects of graph theory)en_AU
dc.subject57M27 (Invariants of knots and 3-manifolds)en_AU
dc.titleCategories generated by a trivalent vertexen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue2en_AU
local.bibliographicCitation.lastpage868en_AU
local.bibliographicCitation.startpage817en_AU
local.contributor.affiliationMorrison, Scott, College of Science, ANUen_AU
local.contributor.affiliationPeters, Emily, Loyola University Chicagoen_AU
local.contributor.affiliationSnyder, Noah, Indiana Universityen_AU
local.contributor.authoruidMorrison, Scott, u5228111en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010103 - Category Theory, K Theory, Homological Algebraen_AU
local.identifier.absfor010108 - Operator Algebras and Functional Analysisen_AU
local.identifier.absfor010112 - Topologyen_AU
local.identifier.ariespublicationU3488905xPUB24290en_AU
local.identifier.citationvolume23en_AU
local.identifier.doi10.1007/s00029-016-0240-3en_AU
local.identifier.scopusID2-s2.0-84978035498
local.identifier.thomsonID000398491700001
local.publisher.urlhttps://link.springer.com/en_AU
local.type.statusAccepted Versionen_AU

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