s-Cobordism Classification of 4-Manifolds Through the Group of Homotopy Self-equivalences

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2015-07-01

Author

Hegenbarth, Friedrich
Pamuk, Mehmetcik
Repovs, Dusan

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The aim of this paper is to give an s-cobordism classification of topological 4 manifolds in terms of the standard invariants using the group of homotopy self-equivalences. Hambleton and Kreck constructed a braid to study the group of homotopy self-equivalences of 4-manifolds. Using this braid together with the modified surgery theory of Kreck, we give an s-cobordism classification for certain 4-manifolds with fundamental group pi, such that cd pi <= 2.

Subject Keywords

cohomological dimension and Homotopy self-equivalence, 4-Manifold, S-Cobordism

URI

https://hdl.handle.net/11511/42948

Journal

MEDITERRANEAN JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.1007/s00009-014-0456-4

Collections

Department of Mathematics, Article

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Citation Formats

F. Hegenbarth, M. Pamuk, and D. Repovs, “s-Cobordism Classification of 4-Manifolds Through the Group of Homotopy Self-equivalences,” MEDITERRANEAN JOURNAL OF MATHEMATICS, pp. 1107–1121, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42948.