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

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

Povzetek

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 ▫$\pi \le 2$▫.

Ključne besede

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

Podatki

Jezik:	Angleški jezik
Leto izida:	2015
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	512.666.855
COBISS:	17087577
ISSN:	1660-5446
Št. ogledov:	491
Št. prenosov:	351
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 1107-1121
Letnik:	ǂVol. ǂ12
Zvezek:	ǂiss. ǂ3
Čas izdaje:	2015
DOI:	10.1007/s00009-014-0456-4
ID:	11234429