Guido Mislin

  1. Bounded characteristic classes and flat bundles.

    Authors: Yves Cornulier, Indira Chatterji, Guido Mislin, Christophe Pittet
    Subjects: Algebraic Topology
    Abstract

    Let G be a connected Lie group, G^d the underlying discrete group, and BG,
    BG^d their classifying spaces. Let R denote the radical of G. We show that all
    classes in the image of the canonical map in cohomology H^*(BG,R)->H^*(BG^d,R)
    are bounded if and only if the derived group [R,R] is simply connected. We also
    give equivalent conditions in terms of stable commutator length and distortion.

  2. Hattori-Stallings trace and Euler characteristics for groups.

    Authors: Indira Chatterji, Guido Mislin
    Subjects: Algebraic Topology
    Abstract

    We discuss properties of the complete Euler characteristic of a group G of
    type FP over the complex numbers and we relate it to the L2-Euler
    characteristic of the centralizers of the elements of G.

  3. On transfer in bounded cohomology.

    Authors: Indira Chatterji, Guido Mislin
    Subjects: Group Theory
    Abstract

    We define a transfer map in the setting of bounded cohomology with certain
    metric G-module coefficients. As an application, we extend a theorem of
    Chatterji, Mislin, Pittet and Saloff-Coste on the comparison map from
    Borel-bounded to Borel cohomology, to cover the case of Lie groups with
    finitely many connected components.

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