J ul 1 99 4 A “ STABLE ” VERSION OF THE GROMOV-LAWSON CONJECTURE

@inproceedings{Rosenberg1994JU1,
  title={J ul 1 99 4 A “ STABLE ” VERSION OF THE GROMOV-LAWSON CONJECTURE},
  author={Jonathan Rosenberg and Stephan A. Stolz},
  year={1994}
}
We discuss a conjecture of Gromov and Lawson, later modified by Rosenberg, concerning the existence of positive scalar curvature metrics. It says that a closed spin manifold M of dimension n ≥ 5 has a positive scalar curvature metric if and only if the index of a suitable “Dirac” operator in KOn(C∗(π1(M))), the real K-theory of the group C∗-algebra of the fundamental group of M , vanishes. It is known that the vanishing of the index is necessary for existence of a positive scalar curvature… CONTINUE READING
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