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Article overview
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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 | Affiliation: | Notre Dame), Thomas Schick (Uni Goettingen) and Stephan Stolz (Notre Dame | Abstract: | Gromov 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 | Services: | Forum | Review | PDF | Favorites |
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