Topological 4-manifolds with geometrically 2-dimensional fundamental groups

Details Topological 4-manifolds with geometrically 2-dimensional fundamental groups Topological 4-manifolds with geometrically 2-dimensional fundamental groups

2008-02-07

arxiv.org/abs/0802.0995v2

Mathematics

Geometric Topology

27 pages. Minor corrections and writing improvements in this revision following a referee's report

Scientific paper

Closed oriented 4-manifolds with the same geometrically 2-dimensional fundamental group (satisfying certain properties) are classified up to $s$-cobordism by their $w_2$-type, equivariant intersection form and the Kirby-Siebenmann invariant. As an application, we obtain a complete homeomorphism classification of closed oriented 4-manifolds with solvable Baumslag-Solitar fundamental groups, including a precise realization result.

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