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Concordance and isotopy of positive scalar curvature metricsGeometry/Topology
|Speaker:||Boris Botvinnik, University of Oregon|
|Start time:||Tue, Apr 28 2009, 4:10PM|
It is well-known that an isotopy of positive scalar curvature metrics implies their concordance. The opposite implication is an old conjecture which known to be false for 4-dimensional manifolds. I will present recent developments here which show that the conjecture is likely to be true for simply connected spin manifolds of dimension at least five.