Exotic characteristic classes and their relation to universal surgery classes
type: Item
instance of: scholarly article
title: Exotic characteristic classes and their relation to universal surgery classes
zbMATH Open document ID: 0554.55009
DOI: 10.1007/BF01161805
author: Artur Heil
author: Friedrich Hegenbarth
published in: Mathematische Zeitschrift
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173440
review text: Exotic characteristic classes had been defined by \textit{F. P. Peterson} [Adv. Math. 4, 81--90 (1970; Zbl 0189.54402)] and \textit{D. C. Ravenel} [Comment. Math. Helv. 47, 421--436 (1972; Zbl 0258.55008)] by means of twisted secondary cohomology operations applied to the Thom class of a spherical fibration.The crucial point in their definition was a certain indeterminacy. In the present paper the authors define unique exotic characteristic classes and show that these are related to well-known obstruction classes constructed by Madsen-Milgram and Brumfield-Morgan.
reviewed by: Manfred Kolster
Mathematics Subject Classification ID: 55R40
Mathematics Subject Classification ID: 55S20
Mathematics Subject Classification ID: 55R25
zbMATH DE Number: 3883202
zbMATH Keywords: Peterson-Massey algebra
zbMATH Keywords: exotic characteristic classes
zbMATH Keywords: twisted secondary cohomology operations
zbMATH Keywords: Thom class of a spherical fibration
zbMATH Keywords: obstruction classes
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3883202