Closed Aspherical Manifolds with Center

2011/08/31 by Sylvain Cappell, Shmuel Weinberger, Min Yan · 1 citation
Mathematics · #math.GT

paper · pdf · doi:10.1112/jtopol/jtt023

published as Journal of Topology, 2013 · 13 pages

arxiv created 2013/04/14 · arxiv updated 2014/02/26

Abstract

We show that in all dimensions >7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disproves a conjectured converse (proposed by Conner and Raymond) to a classical theorem of Borel.

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