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Positive surface group representations in PO (p, q).

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Τίτλος: Positive surface group representations in PO (p, q).
Συγγραφείς: Beyrer, Jonas1 beyrer@math.lmu.de, Pozzetti, Maria Beatrice2 beatrice.pozzetti@unibo.it
Πηγή: Journal of the European Mathematical Society (EMS Publishing). 2026, Vol. 28 Issue 6, p2307-2349. 43p.
Θεματικοί όροι: *Representation theory, *Representations of groups (Algebra), *Topology, *Lie groups
Περίληψη: We show that Θ-positive Anosov representations ρ : Γ PO(p, q) of a surface group Γ satisfy root versus weight collar lemmas for all the Anosov roots, and are positively ratioed with respect to all such roots. We deduce from this, using a result of Beyrer--Pozzetti (2014), that Θ-positive Anosov representations ρ : Γ PO(p, q) form connected components of character varieties. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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DbLabel: Academic Search Index
An: 192421601
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PubType: Academic Journal
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  Data: Positive surface group representations in PO (p, q).
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  Data: <searchLink fieldCode="AR" term="%22Beyrer%2C+Jonas%22">Beyrer, Jonas</searchLink><relatesTo>1</relatesTo><i> beyrer@math.lmu.de</i><br /><searchLink fieldCode="AR" term="%22Pozzetti%2C+Maria+Beatrice%22">Pozzetti, Maria Beatrice</searchLink><relatesTo>2</relatesTo><i> beatrice.pozzetti@unibo.it</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+the+European+Mathematical+Society+%28EMS+Publishing%29%22">Journal of the European Mathematical Society (EMS Publishing)</searchLink>. 2026, Vol. 28 Issue 6, p2307-2349. 43p.
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  Label: Abstract
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  Data: We show that Θ-positive Anosov representations ρ : Γ PO(p, q) of a surface group Γ satisfy root versus weight collar lemmas for all the Anosov roots, and are positively ratioed with respect to all such roots. We deduce from this, using a result of Beyrer--Pozzetti (2014), that Θ-positive Anosov representations ρ : Γ PO(p, q) form connected components of character varieties. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.4171/JEMS/1560
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 43
        StartPage: 2307
    Subjects:
      – SubjectFull: Representation theory
        Type: general
      – SubjectFull: Representations of groups (Algebra)
        Type: general
      – SubjectFull: Topology
        Type: general
      – SubjectFull: Lie groups
        Type: general
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      – TitleFull: Positive surface group representations in PO (p, q).
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            NameFull: Beyrer, Jonas
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            NameFull: Pozzetti, Maria Beatrice
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            – D: 01
              M: 06
              Text: 2026
              Type: published
              Y: 2026
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              Value: 28
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              Value: 6
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            – TitleFull: Journal of the European Mathematical Society (EMS Publishing)
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