title: Hirzebruch Homology
creator: Minatta, Augusto
subject: 510
subject: 510 Mathematics
description: 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.
date: 2004
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/4558/1/TESI.pdf
identifier: DOI:10.11588/heidok.00004558
identifier: urn:nbn:de:bsz:16-opus-45584
identifier:   Minatta, Augusto  (2004) Hirzebruch Homology.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/4558/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng