Vector fields on Singular Varieties

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 vect...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Brasselet, Jean-Paul (Author), Seade, José (Author), Suwa, Tatsuo (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edition:1st ed. 2009.
Series:Lecture Notes in Mathematics, 1987
Subjects:
Functions of complex variables.
Dynamical systems.
Manifolds (Mathematics).
Global analysis (Mathematics).
Algebraic geometry.
Several Complex Variables and Analytic Spaces.
Dynamical Systems.
Manifolds and Cell Complexes.
Global Analysis and Analysis on Manifolds.
Algebraic Geometry.
Online Access:Texto Completo
Table of 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.

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