On Gromov's positive scalar curvature conjecture for duality groups

Author:

Dranishnikov Alexander1

Affiliation:

1. Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, FL 32611-8105, USA

Abstract

We prove the inequality [Formula: see text] for the macroscopic dimension of the universal covers [Formula: see text] of almost spin n-manifolds M with positive scalar curvature whose fundamental group π1(M) is a virtual duality group that satisfies the coarse Baum–Connes conjecture.

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On macroscopic dimension of non-spin 4-manifolds;Journal of Topology and Analysis;2020-11-07

2. Relative Commutant Pictures of Roe Algebras;Communications in Mathematical Physics;2019-01-30

3. Finiteness of $$\pi _1$$ π 1 -sensitive Hofer–Zehnder capacity and equivariant loop space homology;Journal of Fixed Point Theory and Applications;2016-11-12

4. On Gromov’s conjecture for totally non-spin manifolds;Journal of Topology and Analysis;2016-09-08

5. Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds;Journal of Topology;2015-11-26

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