Aspherical manifolds that cannot be triangulated

Davis, Michael W¹ ; Fowler, Jim¹ ; Lafont, Jean-François¹

¹Department of Mathematics, The Ohio State University, 231 West 18th Ave., Columbus, OH 43210-1174, USA

Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 795-803

Résumé

By a result of Manolescu [arXiv:1303.2354v2] there are topological closed n–manifolds that cannot be triangulated for each n ≥ 5. We show here that for n ≥ 6 we can choose such manifolds to be aspherical.

Détail

DOI : 10.2140/agt.2014.14.795

Classification : 57Q15, 20F65, 57Q25, 57R58
Keywords: aspherical manifold, PL manifold, homology sphere, homology manifold, hyperbolization, triangulation, Rokhlin invariant

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