A geometric criterion for the boundedness of characteristic classes |
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| Authors: | Indira Chatterji Guido Mislin Christophe Pittet Laurent Saloff-Coste |
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| Institution: | 1.MAPMO Université d’Orléans,Orléans,France;2.Department of Mathematics,ETHZ,Zürich,Switzerland;3.CMI Université d’Aix-Marseille I,Marseille,France;4.Department of Mathematics,Cornell University,New York,USA |
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| 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). |
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