Vector fields on Singular Varieties Unknown - 2009 - 2010th Edition
by Brasselet, Jean-Paul, And Seade, Jos, And Suwa, Tatsuo
From the rear cover
Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincar-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.
Details
- Title Vector fields on Singular Varieties
- Author Brasselet, Jean-Paul, And Seade, Jos, And Suwa, Tatsuo
- Binding unknown
- Edition number 2010th
- Edition 2010
- Pages 225
- Language ENG
- Publisher Springer
- Date 2009-12
- Features Illustrated
- ISBN 9783642052040
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Vector fields on Singular Varieties
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Vector fields on Singular Varieties (Lecture Notes in Mathematics, 1987)
by Brasselet, Jean-Paul
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