Closed Aspherical Manifolds with Center
Geometric Topology
2014-02-26 v3
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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Cite
@article{arxiv.1108.2321,
title = {Closed Aspherical Manifolds with Center},
author = {Sylvain Cappell and Shmuel Weinberger and Min Yan},
journal= {arXiv preprint arXiv:1108.2321},
year = {2014}
}
Comments
13 pages