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Vector fields on Singular Varieties

Name: Vector fields on Singular Varieties
Brand: Springer, Berlin
SKU: 01650777
Price: 22668 HUF
Availability: InStock
Author: Jean-Paul Brasselet
ISBN: 9783642052040

Jean-Paul Brasselet

José Seade

Tatsuo Suwa

Language

English

Book Paperback

Libristo code: 01650777

Publishers Springer, Berlin, November 2008

Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the P... Full description

Libristo code: 01650777

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Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology.§It is natural to ask what is the good notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson.§We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.