From Calculus to Cohomology de Rham cohomology and characteristic classes
Detalles de publicación: Cambridge, 1977Edición: 1raDescripción: 286 páginasISBN:- fcnm2398
- 514.23I/M14
| Tipo de ítem | Biblioteca actual | Signatura topográfica | Estado | Notas | Código de barras | |
|---|---|---|---|---|---|---|
| Libro | Biblioteca Especializada FCNM Tercer Piso | 514.23I/M14 (Navegar estantería(Abre debajo)) | Disponible | Interno | FCNM3827 |
Navegando Biblioteca Especializada FCNM estanterías, Ubicación en estantería: Tercer Piso Cerrar el navegador de estanterías (Oculta el navegador de estanterías)
| 514.23I/G77 Homotopy Theory an Introduction to Algebraic Topology | 514.23I/H99 Cohomology Theory of Topological Transformation Groups | 514.23I/K68 Hyperbolic Manifolds and Holomorphic Mappings | 514.23I/M14 From Calculus to Cohomology de Rham cohomology and characteristic classes | 514.23I/M32 Algebraic Topology | 514.24I/A23 Algebraic Topology a Student´s Guide | 514.24I/H63 Topology |
1.Introduction. 2.The alternating algebra. 3.De Rham cohomology. 4.Chaim complexes and their cohomology. 5.The mayer-Vietoris sequences. 6.Homotopy. 7.Applications of de Rham Cohomology. 8.Smooth manifolds. 9.Differential forms on smoth manifolds. 10.Integration on manifolds. 11.Degree, Linking numbers and index of vector fields. 12.The pointcaré-Hopf theorem. 13.Poincare duality. 14.The complex projective space CP. 15.Fiber bundles and vector bundles. 16.Operations on vector bundles and their sections. 17.Connections and curvature. 18.Characteristic classes of complex vector bundles. 19.The Euler class. 20.Cohomology of projective and Grassmannian bundles. 21.Thom isomorphism and the general Gauss-Bonnet formula.
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