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On Gromov's positive scalar curvature conjecture for virtual duality groups (1312.2857v1)
Published 10 Dec 2013 in math.GT, math.AT, math.DG, and math.GN
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.
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