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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 vector field, a...

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Bibliographic Details
Main Authors: Brasselet, Jean-Paul, Seade, José (Author), Suwa, Tatsuo (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2009, 2009
Edition:1st ed. 2009
Series:Lecture Notes in Mathematics
Subjects:
Several Complex Variables And Analytic Spaces
Algebraic Geometry
Functions Of Complex Variables
Dynamical Systems
Manifolds And Cell Complexes
Manifolds (mathematics)
Global Analysis (mathematics)
Global Analysis And Analysis On Manifolds
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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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