On Gromov's positive scalar curvature conjecture for virtual duality groups

Abstract

We prove the inequality $$ \dim_{mc}\Wi M\le n-2$$ for the macroscopic dimension of the universal covers $\Wi M$ of almost spin $n$-manifolds $M$ with positive scalar curvature whose fundamental group ${\pi }_1(M)$ is a virtual duality group that satisfies the coarse Baum-Connes conjecture.

arXiv admin note: text overlap with arXiv:1307.1029

References in corpus (5)

• On the Berstein-Svarc Theorem in dimension 2
• Large and small group homology
• On macroscopic dimension of rationally essential manifolds
• Macroscopic dimension and duality groups
• A note on the real coarse Baum-Connes conjecture

Cited by in corpus (1)

• Positive scalar curvature and strongly inessential manifolds