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.
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.

Vector fields on Singular Varieties
232
Vector fields on Singular Varieties
232Paperback(2010)
Product Details
ISBN-13: | 9783642052040 |
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Publisher: | Springer Berlin Heidelberg |
Publication date: | 12/17/2009 |
Series: | Lecture Notes in Mathematics , #1987 |
Edition description: | 2010 |
Pages: | 232 |
Product dimensions: | 6.10(w) x 9.10(h) x 0.80(d) |