Obstructions to positive curvature and symmetry |
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Authors: | Anand Dessai |
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Institution: | aMathematisches Institut, Universität Münster, 48149 Münster, Germany |
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Abstract: | We discuss new obstructions to positive sectional curvature and symmetry. The main result asserts that the index of the Dirac operator twisted with the tangent bundle vanishes on a 2-connected manifold of dimension ≠8 if the manifold admits a metric of positive sectional curvature and isometric effective S1-action. The proof relies on the rigidity theorem for elliptic genera and properties of totally geodesic submanifolds. |
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Keywords: | Positive curvature Elliptic genera Obstructions Cyclic group actions |
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