On three-manifolds dominated by circle bundles
arXiv:1202.6302 · doi:10.1007/s00209-012-1055-3
Abstract
We determine which three-manifolds are dominated by products. The result is that a closed, oriented, connected three-manifold is dominated by a product if and only if it is finitely covered either by a product or by a connected sum of copies of the product of the two-sphere and the circle. This characterization can also be formulated in terms of Thurston geometries, or in terms of purely algebraic properties of the fundamental group. We also determine which three-manifolds are dominated by non-trivial circle bundles, and which three-manifold groups are presentable by products.
12 pages; to appear in Math. Zeitschrift; ISSN 1103-467X
References in corpus (5)
Cited by in corpus (19)
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