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Rational Links and DT Invariants of Quivers

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dc.contributor.authorStosic, Marko
dc.contributor.authorWedrich, Paul
dc.date.accessioned2023-03-07T00:48:57Z
dc.date.issued2021
dc.date.updated2021-12-26T07:18:45Z
dc.description.abstractWe prove that the generating functions for the colored HOMFLY-PT polynomials of rational links are specializations of the generating functions of the motivic Donaldson-Thomas invariants of appropriate quivers that we naturally associate with these links. This shows that the conjectural links-quivers correspondence of Kucharski-Reineke-Stosic-Sulkowski as well as the LMOV conjecture holds for all rational links. Along the way, we extend the links-quivers correspondence to tangles and, thus, explore elements of a skein theory for motivic Donaldson-Thomas invariants.en_AU
dc.description.sponsorshipM. S. was supported by the ERC Starting Grant [335739] “Quantum fields and knot homologies” funded by the European Research Council under the European Union’s Seventh Framework Programme, and by the Ministry of Education, Science, and Technological Development of the Republic of Serbia [174012]. P. W. was supported by the Leverhulme Trust [RP2013-K-017]en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1073-7928en_AU
dc.identifier.urihttp://hdl.handle.net/1885/286672
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/612/..."The accepted version can be archived in an institutional repository. 12 months embargo" from SHERPA/RoMEO site (as at 10/03/2023)
dc.publisherDuke University Pressen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP140103821en_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP160103479en_AU
dc.rights© 2018 The authorsen_AU
dc.sourceInternational Mathematics Research Noticesen_AU
dc.titleRational Links and DT Invariants of Quiversen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue6en_AU
local.bibliographicCitation.lastpage4210en_AU
local.bibliographicCitation.startpage4169en_AU
local.contributor.affiliationStosic, Marko, Instituto Superior Tecnicoen_AU
local.contributor.affiliationWedrich, Paul, College of Science, ANUen_AU
local.contributor.authoruidWedrich, Paul, u1052442en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor490412 - Topologyen_AU
local.identifier.absfor490403 - Category theory, k theory, homological algebraen_AU
local.identifier.absfor490405 - Group theory and generalisationsen_AU
local.identifier.absseo280118 - Expanding knowledge in the mathematical sciencesen_AU
local.identifier.ariespublicationa383154xPUB20437en_AU
local.identifier.citationvolume2021en_AU
local.identifier.doi10.1093/imrn/rny289en_AU
local.identifier.thomsonID000630063600005
local.publisher.urlhttps://academic.oup.com/en_AU
local.type.statusAccepted Versionen_AU

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