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, and...
Tallennettuna:
| Päätekijät: | , , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2009. |
| Sarja: | Lecture Notes in Mathematics
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| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Vector fields on singular varieties, Jean-Paul Brasselet, José Seade, Tatsuo Suwa, Berlin, Springer, 2009, 1 vol. (XX-225 p.), Lecture notes in mathematics, 978-3-642-05204-0 • Vector fields on Singular Varieties, Texte imprimé, 9783642052118 • Vector fields on singular varieties, Jean-Paul Brasselet, José Seade, Tatsuo Suwa, Berlin, Springer, 2009, 1 vol. (XX-225 p.), Lecture notes in mathematics, 978-3-642-05204-0 |
Sisällysluettelo:
- 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