eprintid: 4558
rev_number: 9
eprint_status: archive
userid: 1
dir: disk0/00/00/45/58
datestamp: 2004-04-27 12:41:34
lastmod: 2014-04-03 13:45:01
status_changed: 2012-08-14 15:11:39
type: doctoralThesis
metadata_visibility: show
creators_name: Minatta, Augusto
title: Hirzebruch Homology
title_de: Hirzebruch Homologie
ispublished: pub
subjects: 510
divisions: 110400
adv_faculty: af-11
keywords: Stratifolds , Baas-Sullivan
cterms_swd: Homologiefunktor
cterms_swd: Homologiegruppe
cterms_swd: Homologietheorie
cterms_swd: Nichtsinguläre Homologie
cterms_swd: Homologie
cterms_swd: Topologische Mannigfaltigkeit
abstract: The aim of this thesis is to provide a new natural construction of the Hirzebruch homology functor introduced by Matthias Kreck. The Hirzebruch homology allows to define a characteristic class for manifolds which is a sort of integral L-class. This class is related to the Novikov conjecture and to the general problem of classifying manifolds. Our construction is based on one side on Kreck's theory of stratifolds and on the other side on Markus Banagl's theory of self-dual complexes of sheaves. As a corollary we can show that the Hirzebruch fundamental class of a manifold is a topological invariant and we get therefore a slight generalization of Novikov's famous theorem about the topological invariance of the rational Pontrjagin classes.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 14F05, 55N33, 55N30, 55N22, 55N35
date: 2004
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00004558
ppn_swb: 1643696734
own_urn: urn:nbn:de:bsz:16-opus-45584
date_accepted: 2004-03-30
advisor: HASH(0x564e1c7030e8)
language: eng
bibsort: MINATTAAUGHIRZEBRUCH2004
full_text_status: public
citation:   Minatta, Augusto  (2004) Hirzebruch Homology.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/4558/1/TESI.pdf