PreprintHomotopy types of 4manifolds with 3manifold fundamental groupsJonathan A. HillmanAbstractWe show that the homotopy type of a 4manifold \(M\) whose fundamental group is a finitely presentable \(PD_3\)group \(\pi\), and with \(w_1(M)=w_1(\pi)\) is determined by \(\pi\), \(\pi_2(M)\), \(k_1(M)\) and the equivariant intersection pairing \(\lambda_M\). Keywords: 4manifold, homotopy type, \(PD_3\)group, \(PD_4\)complex.AMS Subject Classification: Primary 57M13; secondary 57P10.
This paper is available as a pdf (308kB) file. It is also on the arXiv: arxiv.org/abs/2307.15292.
