Academic Journal
Προβολή σε EDS

An extended definition of Anosov representation for relatively hyperbolic groups.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: An extended definition of Anosov representation for relatively hyperbolic groups.
Συγγραφείς: Weisman, Theodore1 (AUTHOR) tjwei@umich.edu
Πηγή: Journal of Topology. Jun2026, Vol. 19 Issue 2, p1-71. 71p.
Θεματικοί όροι: *Hyperbolic groups, *Representations of groups (Algebra), *Manifolds (Mathematics)
Περίληψη: We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various different types of "geometrically finite" convex projective manifolds. We prove that these representations are all stable under deformations whose restriction to the peripheral subgroups satisfies a dynamical condition, in particular, allowing for deformations which do not preserve the conjugacy class of the peripheral subgroups. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
FullText Text:
  Availability: 0
CustomLinks:
  – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:asx&genre=article&issn=17538416&ISBN=&volume=19&issue=2&date=20260601&spage=1&pages=1-71&title=Journal of Topology&atitle=An%20extended%20definition%20of%20Anosov%20representation%20for%20relatively%20hyperbolic%20groups.&aulast=Weisman%2C%20Theodore&id=DOI:10.1112/topo.70070
    Name: Full Text Finder (for New FTF UI) (ns324271)
    Category: fullText
    Text: Full Text Finder
    MouseOverText: Full Text Finder
Header DbId: asx
DbLabel: Academic Search Index
An: 194783685
RelevancyScore: 1431
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1430.76538085938
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: An extended definition of Anosov representation for relatively hyperbolic groups.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Weisman%2C+Theodore%22">Weisman, Theodore</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tjwei@umich.edu</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Topology%22">Journal of Topology</searchLink>. Jun2026, Vol. 19 Issue 2, p1-71. 71p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Hyperbolic+groups%22">Hyperbolic groups</searchLink><br />*<searchLink fieldCode="DE" term="%22Representations+of+groups+%28Algebra%29%22">Representations of groups (Algebra)</searchLink><br />*<searchLink fieldCode="DE" term="%22Manifolds+%28Mathematics%29%22">Manifolds (Mathematics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various different types of "geometrically finite" convex projective manifolds. We prove that these representations are all stable under deformations whose restriction to the peripheral subgroups satisfies a dynamical condition, in particular, allowing for deformations which do not preserve the conjugacy class of the peripheral subgroups. [ABSTRACT FROM AUTHOR]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=194783685
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1112/topo.70070
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 71
        StartPage: 1
    Subjects:
      – SubjectFull: Hyperbolic groups
        Type: general
      – SubjectFull: Representations of groups (Algebra)
        Type: general
      – SubjectFull: Manifolds (Mathematics)
        Type: general
    Titles:
      – TitleFull: An extended definition of Anosov representation for relatively hyperbolic groups.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Weisman, Theodore
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 17538416
          Numbering:
            – Type: volume
              Value: 19
            – Type: issue
              Value: 2
          Titles:
            – TitleFull: Journal of Topology
              Type: main
ResultId 1