On geometric representation of L-homology classes

Friedrich Hegenbarth (Avtor), Dušan Repovš (Avtor)

Povzetek

In this chapter we give a geometric representation of ▫$H_{n}(B;{\mathbb L})$▫ classes, where ▫${\mathbb L}$▫ is the ▫$4$▫-periodic surgery spectrum, by establishing a relationship between the normal cobordism classes ▫${{\mathcal N}}^{H}_{n}(B,\partial)$▫ and the ▫$n$▫-th ▫${\mathbb L}$▫-homology of ▫$B$▫, representing the elements of ▫$H_{n}(B;{\mathbb L})$▫ by normal degree one maps with a reference map to ▫$B$▫. More precisely, we prove that for every ▫$n \ge 6$▫ and every finite complex ▫$B$▫, there exists a map ▫$\Gamma: H_n(B;{\mathbb L}) \longrightarrow {\mathcal N}^{H}_{n}(B,\partial)$▫.

Ključne besede

generalized manifolds;cell-like map;normal degree one map;Steenrod L-homology;Poincaré duality complex;periodic surgery spectrum L;geometric representation;L-homology classes;

Podatki

Jezik:	Angleški jezik
Leto izida:	2025
Tipologija:	1.16 - Samostojni znanstveni sestavek ali poglavje v monografski publikaciji
Organizacija:	UL PEF - Pedagoška fakulteta
UDK:	515.1
COBISS:	244030211
Št. ogledov:	101
Št. prenosov:	31
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Neznan jezik
Vrsta dela (COBISS):	Drugo
Strani:	Str. 429-436
ID:	27306122