▫$s$▫-Cobordism classification of 4-manifolds through the group of homotopy self-equivalences

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

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 ▫$\pi \le 2$▫.

• Language: English
• Keywords: s-cobordism, 4-manifold, cohomological dimension, homotopy self-equivalence
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2015
• Number of pages: Str. 1107-1121
• Numbering: Vol. 12, iss. 3
• PID: 20.500.12556/RUL-111306
• UDC: 512.666.855
• ISSN on article: 1660-5446
• DOI: 10.1007/s00009-014-0456-4
• COBISS.SI-ID: 17087577
• Publication date in RUL: 27.09.2019

Record is a part of a journal

• Title: Mediterranean journal of mathematics
• Shortened title: Mediterr. j. math.
• Publisher: Springer Nature, Birkhäuser
• ISSN: 1660-5446
• COBISS.SI-ID: 13561433