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


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Hegenbarth F., PAMUK M. , Repovs D.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.12, ss.1107-1121, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 12 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00009-014-0456-4
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1107-1121

Özet

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.