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arXiv · 2307.15292

Homotopy types of 4-manifolds with 3-manifold fundamental groups

Jonathan A. Hillman
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Abstract

We show that the homotopy type of a 4-manifold $M$ whose fundamental group is a finitely presentable $PD_3$-group $π$ and with $w_1(M)=w_1(π)$ is determined by $π$, $π_2(M)$, $k_1(M)$ and the equivariant intersection pairing $λ_M$.

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Jonathan A. Hillman. 2023-11-13. Homotopy types of 4-manifolds with 3-manifold fundamental groups. https://arxiv.org/abs/2307.15292

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