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

Alexander Dranishnikov

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

Geometric Topology 2013-12-11 v1 Algebraic Topology Differential Geometry General Topology

Authors: Alexander Dranishnikov

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.

Keywords

gromov's positive scalar curvature conjecture virtual duality groups macroscopic dimension universal covers almost spin manifolds coarse baum-connes conjecture

Cite

@article{arxiv.1312.2857,
  title  = {On Gromov's positive scalar curvature conjecture for virtual duality groups},
  author = {Alexander Dranishnikov},
  journal= {arXiv preprint arXiv:1312.2857},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1307.1029

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

Abstract

Keywords

Cite

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