Friedrich Hegenbarth (Author), Mehmetcik Pamuk (Author), Dušan Repovš (Author)

Abstract

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 ▫$\pi \le 2$▫.

Keywords

s-cobordism;4-manifold;cohomological dimension;homotopy self-equivalence;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 512.666.855
COBISS: 17087577 Link will open in a new window
ISSN: 1660-5446
Views: 491
Downloads: 351
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Other data

Type (COBISS): Article
Pages: str. 1107-1121
Volume: ǂVol. ǂ12
Issue: ǂiss. ǂ3
Chronology: 2015
DOI: 10.1007/s00009-014-0456-4
ID: 11234429