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A lax monoidal Topological Quantum Field Theory for representation varieties

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dc.contributor.authorGonzález Prieto, José Ángel
dc.contributor.authorLogares Jiménez, Marina Lucía
dc.contributor.authorMuñoz Velázquez, Vicente
dc.date.accessioned2024-02-08T16:41:12Z
dc.date.available2024-02-08T16:41:12Z
dc.date.issued2020
dc.description.abstractWe construct a lax monoidal Topological Quantum Field Theory that computes Deligne-Hodge polynomials of representation varieties of the fundamental group of any closed manifold into any complex algebraic group G. As byproduct, we obtain formulas for these polynomials in terms of homomorphisms between the space of mixed Hodge modules on G. The construction is developed in a categorical-theoretic framework allowing its application to other situations.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipEuropean Comission
dc.description.sponsorshipMinisterio de Economía, Comercio y Empresa (España)
dc.description.sponsorshipFundación La Caixa
dc.description.statuspub
dc.identifier.citationGonzález-Prieto Á, Logares M, Muñoz V. A lax monoidal topological quantum field theory for representation varieties. Bulletin des Sciences Mathématiques 2020; 161: 102871. [DOI: 10.1016/j.bulsci.2020.102871]
dc.identifier.doi10.1016/j.bulsci.2020.102871
dc.identifier.issn0007-4497
dc.identifier.officialurlhttps://doi.org/10.1016/j.bulsci.2020.102871
dc.identifier.relatedurlhttps://www.sciencedirect.com/science/article/pii/S0007449720300415
dc.identifier.urihttps://hdl.handle.net/20.500.14352/100554
dc.journal.titleBulletin des Sciences Mathématiques
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDGREAT - DLV-654490
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2015-63612-P/ES/TOPOLOGIA DE VARIEDADES, TOPOLOGIA COMBINATORIA Y DINAMICA TOPOLOGICA/
dc.relation.projectIDLCF/BQ/ES15/10360013
dc.rights.accessRightsopen access
dc.subject.keywordTQFT
dc.subject.keywordModuli spaces
dc.subject.keywordE-polynomial
dc.subject.keywordRepresentation varieties
dc.subject.ucmGeometría
dc.subject.unesco1204 Geometría
dc.titleA lax monoidal Topological Quantum Field Theory for representation varietiesen
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number161
dspace.entity.typePublication
relation.isAuthorOfPublicationc3011bfd-5025-4e49-8f0e-e16ea76da35c
relation.isAuthorOfPublication677acfda-37d4-4144-9df0-ac0e5e0839ee
relation.isAuthorOfPublication7b872afc-f7c5-4099-a38f-ad80b034cc8e
relation.isAuthorOfPublication.latestForDiscoveryc3011bfd-5025-4e49-8f0e-e16ea76da35c

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