A Counterexample to a Conjecture about Positive Scalar Curvature

Details A Counterexample to a Conjecture about Positive Scalar Curvature A Counterexample to a Conjecture about Positive Scalar Curvature

2011-02-14

arxiv.org/abs/1102.2916v1

Mathematics

Geometric Topology

4 pages, AMS-LaTeX

Scientific paper

Conjecture 1 of Chang: "Positive scalar curvature of totally nonspin manifolds" asserts that a closed smooth manifold M with non-spin universal covering admits a metric of positive scalar curvature if and only if a certain homological condition is satisfied. We present a counterexample to this conjecture, based on the counterexample to the unstable Gromov-Lawson-Rosenberg conjecture given in Schick: "A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture".

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