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- Title
A geometric criterion for the boundedness of characteristic classes.
- Authors
Chatterji, Indira; Mislin, Guido; Pittet, Christophe; Saloff-Coste, Laurent
- 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).
- Subjects
LIE groups; GEOMETRY; MATHEMATICS; RINGS of integers; OPERATIONS (Algebraic topology)
- Publication
Mathematische Annalen, 2011, Vol 351, Issue 3, p541
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-010-0610-7