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Hirzebruch Homology

Minatta, Augusto

German Title: Hirzebruch Homologie

Postscript, English
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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.

Item Type: Dissertation
Supervisor: Kreck, Prof. Dr. Matthias
Date of thesis defense: 30 March 2004
Date Deposited: 27 Apr 2004 12:41
Date: 2004
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Mathematics
Subjects: 510 Mathematics
Controlled Keywords: Homologiefunktor, Homologiegruppe, Homologietheorie, Nichtsinguläre Homologie, Homologie, Topologische Mannigfaltigkeit
Uncontrolled Keywords: Stratifolds , Baas-Sullivan
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