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Representation Varieties of Twisted Hopf Links

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dc.contributor.authorGonzález Prieto, José Ángel
dc.contributor.authorMuñoz Velázquez, Vicente
dc.date.accessioned2024-04-25T12:24:54Z
dc.date.available2024-04-25T12:24:54Z
dc.date.issued2023-01-29
dc.description2023 Acuerdos transformativos CRUE
dc.description.abstractIn this paper, we study the representation theory of the fundamental group of the complement of a Hopf link with n twists. A general framework is described to analyze the -representation varieties of these twisted Hopf links as byproduct of a combinatorial problem and equivariant Hodge theory. As application, close formulas of their E-polynomials are provided for ranks 2 and 3, both for the representation and character varieties.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Ciencias Matemáticas (ICMAT)
dc.description.fundingtypeAPC financiada por la UCM
dc.description.refereedTRUE
dc.description.statuspub
dc.identifier.doi10.1007/s00009-023-02300-w
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.urihttps://hdl.handle.net/20.500.14352/103506
dc.issue.number89
dc.journal.titleMediterranean Journal of Mathematics
dc.language.isoeng
dc.publisherSpringer Nature
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.keywordHopf link
dc.subject.keywordRepresentation varieties
dc.subject.keywordCharacter varieties
dc.subject.keywordE-polynomial
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleRepresentation Varieties of Twisted Hopf Links
dc.typejournal article
dc.volume.number20
dspace.entity.typePublication
relation.isAuthorOfPublicationc3011bfd-5025-4e49-8f0e-e16ea76da35c
relation.isAuthorOfPublication7b872afc-f7c5-4099-a38f-ad80b034cc8e
relation.isAuthorOfPublication.latestForDiscoveryc3011bfd-5025-4e49-8f0e-e16ea76da35c

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