On Gromov's positive scalar curvature conjecture for duality groups-Reference-Cited by-同舟云学术

On Gromov's positive scalar curvature conjecture for duality groups

Published:2014-06-16 Issue:03 Volume:06 Page:397-419
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

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

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525314500162

Reference28 articles.

1. Asymptotic dimension

2. On the Lusternik–Schnirelmann category of Grassmannians

3. On Gromov’s scalar curvature conjecture

4. Cohomology of Groups

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