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arXiv:1304.2436 [math.GT]AbstractReferencesReviewsResources

$\mathbb{S}ol^3\times\mathbb{E}^1$-manifolds

J. A. Hillman

Published 2013-04-09, updated 2015-04-13Version 3

We show that $\mathbb{S}ol^3\times\mathbb{E}^1$-manifolds are Seifert fibred, with general fibre the torus, and base one of the seven flat 2-orbifolds $T, Kb, \mathbb{A}, \mathbb{M}b, S(2,2,2,2), P(2,2)$ or $\mathbb{D}(2,2)$, and outline a classification of such 4-manifolds.

Comments: The earlier version (2013) was fatally flawed. The present version retains only the focus on Seifert fibration as a basis for classification
Categories: math.GT, math.DG
Subjects: 57M50
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