Groups acting properly on "bolic" spaces and the Novikov conjecture

Details Groups acting properly on "bolic" spaces and the Novikov conjecture Groups acting properly on "bolic" spaces and the Novikov conjecture

2004-02-23

arxiv.org/abs/math/0402374v1

Ann. of Math. (2), Vol. 158 (2003), no. 1, 165--206

Mathematics

Algebraic Geometry

42 pages, published version

Scientific paper

We introduce a class of metric spaces which we call "bolic". They include
hyperbolic spaces, simply conneccted complete manifolds of nonpositive
curvature, euclidean buildings, etc. We prove the Novikov conjecture on higher
signatures for any discrete group which admits a proper isometric action on a
"bolic", weakly geodesic metric space of bounded geometry.

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