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

Preprint

23 February 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0402374

Abstract

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.

Keywords

NOVIKOV CONJECTURE
HYPERBOLIC SPACES
ACTING PROPERLY
GROUPS ACTING
METRIC SPACE
GEODESIC
SPACES
BOLIC

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Version 1, 2004-02-23, ArXiv

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