On Gromov's scalar curvature conjecture

Details On Gromov's scalar curvature conjecture On Gromov's scalar curvature conjecture

2009-01-28

arxiv.org/abs/0901.4503v1

Mathematics

Geometric Topology

10 pages

Scientific paper

We prove the Gromov conjecture on the macroscopic dimension of the universal
covering of a closed spin manifold with a positive scalar curvature under the
following assumptions on the fundamental group: 1. The Strong Novikov
Conjecture holds for $\pi$. 2. The natural map $per:ko_n(B\pi)\to KO_n(B\pi)$
is injective.

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