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2021 Positive scalar curvature on manifolds with odd order abelian fundamental groups
Bernhard Hanke
Geom. Topol. 25(1): 497-546 (2021). DOI: 10.2140/gt.2021.25.497

Abstract

We introduce Riemannian metrics of positive scalar curvature on manifolds with Baas–Sullivan singularities, prove a corresponding homology invariance principle and discuss admissible products.

Using this theory we construct positive scalar curvature metrics on closed smooth manifolds of dimension at least five which have odd order abelian fundamental groups, are nonspin and atoral. This solves the Gromov–Lawson–Rosenberg conjecture for a new class of manifolds with finite fundamental groups.

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Bernhard Hanke. "Positive scalar curvature on manifolds with odd order abelian fundamental groups." Geom. Topol. 25 (1) 497 - 546, 2021. https://doi.org/10.2140/gt.2021.25.497

Information

Received: 24 August 2019; Revised: 20 February 2020; Accepted: 21 March 2020; Published: 2021
First available in Project Euclid: 16 March 2021

Digital Object Identifier: 10.2140/gt.2021.25.497

Subjects:
Primary: 53C21, 57R15
Secondary: 55N20, 57T10

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.25 • No. 1 • 2021
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