Vector Fields on Singular Varieties

Name: Vector Fields on Singular Varieties
Availability: InStock
ISBN: 9783642052040

ISBN-10: 3642052045

ISBN-13: 9783642052040

Edition: 2009

Authors: Jean-Paul Brasselet, Josï¿½ Seade, Tatsuo Suwa

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Description:

Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the PoincarÃ©-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 â€˜goodâ€™ 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.

Book details

Copyright year: 2009
Publisher: Springer Berlin / Heidelberg
Publication date: 12/17/2009
Binding: Paperback
Pages: 232
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 1.760
Language: English