On Invariants of Hirzebruch and Cheeger-Gromov.
Equivariant periodicity for abelian group action.
Free Q/Z Actions.
The Novikov conjecture and low-dimensional topology.
Variational problems for riemannian functionals and arithmetic groups
Curvature, tangentiality, and controlled topology.
The Novikov conjecture for linear groups
Let K be a field. We show that every countable subgroup of GL(,K) is uniformly embeddable in a Hilbert space. This implies that Novikov’s higher signature conjecture holds for these groups. We also show that every countable subgroup of GL(2,K) admits a proper, affine isometric action on a Hilbert space. This implies that the Baum-Connes conjecture holds for these groups. Finally, we show that every subgroup of GL(,K) is exact, in the sense of C-algebra theory.
Caractéristiques d'euler et groupes fondamentaux des variétés de dimension 4.
Topological classification of multiaxial -actions (with an appendix by Jared Bass)
This paper begins the classification of topological actions on manifolds by compact, connected, Lie groups beyond the circle group. It treats multiaxial topological actions of unitary and symplectic groups without the dimension restrictions used in earlier works by M. Davis and W. C. Hsiang on differentiable actions. The general results are applied to give detailed calculations for topological actions homotopically modeled on standard multiaxial representation spheres. In the present topological...
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