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arxiv: 1108.2321 · v3 · pith:LYEZED4Xnew · submitted 2011-08-11 · 🧮 math.GT

Closed Aspherical Manifolds with Center

classification 🧮 math.GT
keywords asphericalcenterclosedmanifoldsactionsborelcircleclassical
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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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