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Mathematische Annalen

, Volume 351, Issue 3, pp 541–569 | Cite as

A geometric criterion for the boundedness of characteristic classes

  • Indira Chatterji
  • Guido Mislin
  • Christophe PittetEmail author
  • Laurent Saloff-Coste
Article

Abstract

We show that for a connected Lie group G, the linearity of its radical \({\sqrt G}\) (that is of its biggest connected normal solvable subgroup), is a necessary and sufficient condition for the boundedness of all Borel cohomology classes of G with integer coefficients, and that the linearity of \({\sqrt G}\) is also equivalent to a large-scale geometric property of G (involving distortion).

Mathematics Subject Classification (2000)

Primary 57T10 55R40 Secondary 20F65 53C23 

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Indira Chatterji
    • 1
  • Guido Mislin
    • 2
  • Christophe Pittet
    • 3
    Email author
  • Laurent Saloff-Coste
    • 4
  1. 1.MAPMO Université d’OrléansOrléansFrance
  2. 2.Department of MathematicsETHZZürichSwitzerland
  3. 3.CMI Université d’Aix-Marseille IMarseilleFrance
  4. 4.Department of MathematicsCornell UniversityNew YorkUSA

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