Pontrjagin Classes, the Fundamental Group and some Problems of Stable Algebra1

S. P. Novikov

A chapter in Essays on Topology and Related Topics, 1970, pp 147-155 from Springer

Abstract: Abstract This paper deals mainly with problems connected with topological and homotopic invariance of Pontrjagin classes and some closely related problems of algebraic topology and stable algebra. These questions have arisen from the authors’ papers on topological and homotopic invariance of rational Pontrjagin classes, based on the discovery of deep connections between characteristic classes and the fundamental group. There are a number of new stable algebraic problems connected with the diffeomorphism problem and Pontrjagin classes of nonsimply connected manifold (especially when π1= Z × • • • × Z).

Keywords: Fundamental Group; Homology Class; Homotopy Type; Homotopic Invariance; Open Manifold (search for similar items in EconPapers)
Date: 1970
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-49197-9_14

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DOI: 10.1007/978-3-642-49197-9_14

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