E-polynomials of the SL(2, C)-character varieties of surface groups

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dc.contributor.authorMartinez, Javier
dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-18T06:54:17Z
dc.date.available2023-06-18T06:54:17Z
dc.date.issued2016
dc.description.abstractWe compute the E-polynomials of the moduli spaces of representations of the fundamental group of a once-punctured surface of any genus into SL(2, C), for any possible holonomy around the puncture. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behavior of the E-polynomial under fibrations.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/38237
dc.identifier.doihtt://dx.doi.org/10.1093/imrn/rnvl63
dc.identifier.issn1073-7928
dc.identifier.officialurlhttp://imrn.oxfordjournals.org/content/early/2015/06/04/imrn.rnv163.refs
dc.identifier.relatedurlhttp://imrn.oxfordjournals.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/24547
dc.issue.number3
dc.journal.titleInternational Mathematics Research Notices
dc.language.isoeng
dc.page.final961
dc.page.initial926
dc.publisherOxford University Press
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordModuli spaces
dc.subject.keywordE-polynomial
dc.subject.keywordCharacter variety
dc.subject.keywordSurface group.
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleE-polynomials of the SL(2, C)-character varieties of surface groups
dc.typejournal article
dspace.entity.typePublication

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