On character varieties of singular manifolds

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dc.contributor.authorLogares Jiménez, Marina Lucía
dc.contributor.authorGonzález Prieto, José Ángel
dc.date.accessioned2023-06-17T08:28:34Z
dc.date.available2023-06-17T08:28:34Z
dc.date.issued2020-11-09
dc.description.abstractIn this paper, we construct a lax monoidal Topological Quantum Field Theory that computes virtual classes, in the Grothendieck ring of algebraic varieties, of G-representation varieties over manifolds with conic singularities, which we will call nodefolds. This construction is valid for any algebraic group G, in any dimension and also in the parabolic setting. In particular, this TQFT allow us to compute the virtual classes of representation varieties over complex singular planar curves. In addition, in the case G = SL2(k), the virtual class of the associated character variety over a nodal closed orientable surface is computed both in the non-parabolic and in the parabolic scenarios.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedFALSE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.statusunpub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/73518
dc.identifier.urihttps://hdl.handle.net/20.500.14352/7232
dc.language.isoeng
dc.relation.projectIDPID2019-106493RB
dc.relation.projectIDSEV-2015-0554
dc.rights.accessRightsopen access
dc.subject.cdu515.17
dc.subject.keywordCone sigularities
dc.subject.keywordCharacter variety
dc.subject.keywordTQFT
dc.subject.keywordGrothendieck ring
dc.subject.ucmTopología
dc.subject.unesco1210 Topología
dc.titleOn character varieties of singular manifoldsen
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublication677acfda-37d4-4144-9df0-ac0e5e0839ee
relation.isAuthorOfPublicationc3011bfd-5025-4e49-8f0e-e16ea76da35c
relation.isAuthorOfPublication.latestForDiscovery677acfda-37d4-4144-9df0-ac0e5e0839ee
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