Math @ Duke

Publications [#354056] of Demetre P Kazaras
Papers Accepted
 D. Kazaras, D. Ruberman and N. Saveliev, On positive scalar curvature cobordisms and the conformal Laplacian on endperiodic manifolds,
Communications in Analysis and Geometry, vol. to appear, accepted 2019
(2020)
(last updated on 2020/12/18)
Abstract: We show that the periodic ηinvariants introduced by MrowkaRubermanSaveliev~\cite{MRS3} provide obstructions to the existence of cobordisms with positive scalar curvature metrics between manifolds of dimensions 4 and 6. The proof combines a relative version of the SchoenYau minimal surface technique with an endperiodic index theorem for the Dirac operator. As a result, we show that the bordism groups Ω^{spin,+}_{n+1}(S1×BG) are infinite for any nontrivial group G which is the fundamental group of a spin spherical space form of dimension n=3 or 5.


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