TOPOLOGICAL 4-MANIFOLDS WITH GEOMETRICALLY TWO-DIMENSIONAL FUNDAMENTAL GROUPS

By I. Hambleton, M. Kreck, P. Teichner. 2008

50 citations recorded by the source corpus.

Closed oriented 4-manifolds with the same geometrically two-dimensional fundamental group (satisfying certain properties) are classified up to s-cobordism by their w2-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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/01a5a496e81163d0c8c65d7a9411b953a04153d8

How researchers see this paper

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In Geometry and Topology

1. Patrick Orson
2. Mark Powell
3. Matthias Nagel
4. Stefan Friedl
5. Stefano Vidussi
6. Charles Livingston

In Mathematical Physics

1. Patrick Orson
2. Mark Powell
3. Matthias Nagel
4. Stefan Friedl
5. Stefano Vidussi
6. Charles Livingston

Citations in the corpus

• A survey of the foundations of four-manifold theory in the topological category (2019, methodology): “The next classification result was worked out by Hambleton, Kreck and Teichner in [HKT09].”