Topological 4-manifolds with geometrically 2-dimensional fundamental groups

Ian Hambleton; Matthias Kreck; Peter Teichner

Topological 4-manifolds with geometrically 2-dimensional fundamental groups

Geometric Topology 2013-02-12 v2 Algebraic Topology

Authors: Ian Hambleton , Matthias Kreck , Peter Teichner

Abstract

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.

Keywords

smooth 4-manifolds holonomy manifolds

Cite

@article{arxiv.0802.0995,
  title  = {Topological 4-manifolds with geometrically 2-dimensional fundamental groups},
  author = {Ian Hambleton and Matthias Kreck and Peter Teichner},
  journal= {arXiv preprint arXiv:0802.0995},
  year   = {2013}
}

Comments

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

Topological 4-manifolds with geometrically 2-dimensional fundamental groups

Abstract

Keywords

Cite

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