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Mixed Hodge structures on character varieties of nilpotent groups

2024-04Journal article Open access
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dc.contributor.authorA. A. Florentino, Carlos
dc.contributor.authorLawton, Sean
dc.contributor.authorSilva, Jaime
dc.date.accessioned2024-11-11T12:25:14Z
dc.date.available2024-11-11T12:25:14Z
dc.date.issued2024-04
dc.description.abstractLet Hom0(Ƭ, G) be the connected component of the identity of the variety of representations of a finitely generated nilpotent group into a connected reductive complex affine algebraic group G. We determine the mixed Hodge structure on the representation variety Hom0(Ƭ, G) and on the character variety Hom0(Ƭ, G)//G. We obtain explicit formulae (both closed and recursive) for the mixed Hodge polynomial of these representation and character varieties.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationFlorentino C, Lawton S, Silva J. Mixed Hodge structures on character varieties of nilpotent groups. Revista Matemática Complutense. 2024; 9. https://doi.org/10.1007/s13163-024-00490-9pt_PT
dc.identifier.doi10.1007/s13163-024-00490-9pt_PT
dc.identifier.eissn1988-2807
dc.identifier.issn1139-1138
dc.identifier.urihttp://hdl.handle.net/10400.21/17872
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationCenter for Mathematics, Fundamental Applications and Operations Research
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s13163-024-00490-9pt_PT
dc.subjectcharacter varietypt_PT
dc.subjectmixed Hodge structurespt_PT
dc.subjectnilpotent grouppt_PT
dc.subjectHodge polynomialpt_PT
dc.titleMixed Hodge structures on character varieties of nilpotent groupspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, Fundamental Applications and Operations Research
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04561%2F2020/PT
oaire.citation.endPage28pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleRevista Matemática Complutensept_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameArango Florentino
person.familyNameLawton
person.familyNameDelgado Mancelos Silva
person.givenNameCarlos Armindo
person.givenNameSean
person.givenNameJaime Augusto
person.identifierhttps://scholar.google.pt/citations?user=lvsRdFMAAAAJ
person.identifier.ciencia-id681B-1675-B20D
person.identifier.ciencia-id3115-01C0-F814
person.identifier.ciencia-idB01F-61B7-F0AE
person.identifier.orcid0000-0003-1001-0352
person.identifier.orcid0000-0002-7186-3255
person.identifier.orcid0000-0002-2468-895X
person.identifier.scopus-author-id6602533698
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublicationd9d56f7c-5c91-4734-b7c2-7f54c4892211
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