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The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups |
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| Authors: | James F Davis Kimberly Pearson |
| Institution: | Department of Mathematics, Indiana University, Bloomington, Indiana 47405 ; Department of Mathematics and Computer Science, Valparaiso University, Valparaiso, Indiana 46383 |
| 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. |
| Keywords: | Positive scalar curvature $K$-theory Fuchsian groups |
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