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29 March 2024
 
  » arxiv » math.GT/0208011

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Remarks on a conjecture of Gromov and Lawson
William Dwyer ; Thomas Schick ; Stephan Stolz ;
Date 2 Aug 2002
Subject Geometric Topology; Algebraic Topology; Differential Geometry; K-Theory and Homology MSC-class: 53C21 | math.GT math.AT math.DG math.KT
AffiliationNotre Dame), Thomas Schick (Uni Goettingen) and Stephan Stolz (Notre Dame
AbstractGromov and Lawson conjectured that a closed spin manifold M of dimension n with fundamental group pi admits a metric with positive scalar curvature if and only if an associated element in KO_n(B pi) vanishes. In this note we present counter examples to the `if’ part of this conjecture for groups pi which are torsion free and whose classifying space is a manifold with negative curvature (in the Alexandrov sense).
Source arXiv, math.GT/0208011
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