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

Abstract

We show that $\mathbb{S}o{l}^3\times {\mathbb{E}}^1$-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.

arXiv commentThe earlier version (2013) was fatally flawed. The present version retains only the focus on Seifert fibration as a basis for classification

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