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The coarse geometric Novikov conjecture and uniform convexity |
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| Authors: | Gennadi Kasparov |
| Institution: | Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, TN 37240, USA |
| Abstract: | The coarse geometric Novikov conjecture provides an algorithm to determine when the higher index of an elliptic operator on a noncompact space is nonzero. The purpose of this paper is to prove the coarse geometric Novikov conjecture for spaces which admit a (coarse) uniform embedding into a uniformly convex Banach space. |
| Keywords: | Higher index Elliptic operator Positive scalar curvature Novikov conjecture Uniform convexity (Coarse) Uniform embedding |
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