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Author Brasselet, Jean-Paul.
Title Vector fields on singular varieties / Jean-Paul Brasselet, Jose Seade, Tatsuo Suwa.
Imprint Heidelberg ; London : Springer, 2009.

LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
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LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Series Lecture notes in mathematics, 0075-8434 ; 1987
Lecture notes in mathematics (Springer-Verlag) ; 1987.
Subject Vector fields.
Singularities (Mathematics)
Alt Name Seade, J. (José)
Suwa, T. (Tatsuo), 1942-
Description 1 online resource (xx, 225 pages).
Bibliography Note Includes bibliographical references and index.
Contents The Case of Manifolds -- The Schwartz Index -- The GSV Index -- Indices of Vector Fields on Real Analytic Varieties -- The Virtual Index -- The Case of Holomorphic Vector Fields -- The Homological Index and Algebraic Formulas -- The Local Euler Obstruction -- Indices for 1-Forms -- The Schwartz Classes -- The Virtual Classes -- Milnor Number and Milnor Classes -- Characteristic Classes of Coherent Sheaves on Singular Varieties.
Summary Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincare-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.
Note Print version record.
ISBN 9783642052057
3642052053
9783642052040
3642052045
OCLC # 505431696
Additional Format Print version: Brasselet, Jean-Paul. Vector fields on singular varieties. Heidelberg ; London : Springer, 2009 9783642052040 3642052045 (DLC) 2009940925 (OCoLC)496988053