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

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

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 ▫$\pi \le 2$▫.

• Jezik: Angleški jezik
• Ključne besede: s-cobordism, 4-manifold, cohomological dimension, homotopy self-equivalence
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2015
• Št. strani: Str. 1107-1121
• Številčenje: Vol. 12, iss. 3
• PID: 20.500.12556/RUL-111306
• UDK: 512.666.855
• ISSN pri članku: 1660-5446
• DOI: 10.1007/s00009-014-0456-4
• COBISS.SI-ID: 17087577
• Datum objave v RUL: 27.09.2019

Gradivo je del revije

• Naslov: Mediterranean journal of mathematics
• Skrajšan naslov: Mediterr. j. math.
• Založnik: Springer Nature, Birkhäuser
• ISSN: 1660-5446
• COBISS.SI-ID: 13561433