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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 vect...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2009.
|
| Edición: | 1st ed. 2009. |
| Colección: | Lecture Notes in Mathematics,
1987 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-05205-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220119133344.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 gw | s |||| 0|eng d | ||
| 020 | |a 9783642052057 |9 978-3-642-05205-7 | ||
| 024 | 7 | |a 10.1007/978-3-642-05205-7 |2 doi | |
| 050 | 4 | |a QA331.7 | |
| 072 | 7 | |a PBKD |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKD |2 thema | |
| 082 | 0 | 4 | |a 515.94 |2 23 |
| 100 | 1 | |a Brasselet, Jean-Paul. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Vector fields on Singular Varieties |h [electronic resource] / |c by Jean-Paul Brasselet, José Seade, Tatsuo Suwa. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2009. | |
| 300 | |a XX, 232 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1987 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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 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. | ||
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Global analysis (Mathematics). | |
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 1 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Manifolds and Cell Complexes. |
| 650 | 2 | 4 | |a Global Analysis and Analysis on Manifolds. |
| 650 | 2 | 4 | |a Algebraic Geometry. |
| 700 | 1 | |a Seade, José. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Suwa, Tatsuo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642052118 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642052040 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1987 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-05205-7 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||