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Geometry-Topology Seminar

Thursday, May 9, 2019 - 4:30pm

Martin Kerin

University of Muenster


University of Pennsylvania



Manifolds with non-negative sectional curvature are little understood, so any new topological types are treated with great interest.  In this talk, based upon joint work with S. Goette and K. Shankar, I will exploit the linking form to show that there are infinite families of 2-connected, rational homology 7-spheres which admit non-negative curvature and are not even homotopy equivalent to an S^3-bundle over S^4.  These are the first such examples.