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The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups

James F. Davis·Kimberly Pearson
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Abstract

We prove the Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups, thereby giving necessary and sufficient conditions for a closed spin manifold of dimension greater than four with fundamental group cocompact Fuchsian to admit a metric of positive scalar curvature.

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James F. Davis, Kimberly Pearson. 2002-01-10. The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups. https://arxiv.org/abs/math/0201091

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