Author | Hirzebruch, Friedrich. author |
---|---|
Title | Topological Methods in Algebraic Geometry [electronic resource] : Reprint of the 1978 Edition / by Friedrich Hirzebruch |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1995 |
Connect to | http://dx.doi.org/10.1007/978-3-642-62018-8 |
Descript | XI, 234 p. online resource |
One. Preparatory material -- ยง 1. Multiplicative sequences -- ยง2. Sheaves -- ยง3. Fibre bundles -- ยง 4. Characteristic classes -- Two. The cobordism ring -- ยง 5. Pontrjagin numbers -- ยง 6. The ring $$\tilde \Omega \otimes \mathcal{Q}$$ ?Q -- ยง 7. The cobordism ring ? -- ยง 8. The index of a 4 k-dimensional manifold -- ยง 9. The virtual index -- Three. The Todd genus -- ยง 10. Definition of the Todd genus -- ยง 11. The virtual generalised Todd genus -- ยง 12. The T-characteristic of a GL(q, C)-bundle -- ยง 13. Split manifolds and splitting methods -- ยง 14. Multiplicative properties of the Todd genus -- Four. The Riemann-Roch theorem for algebraic manifolds -- ยง 15. Cohomology of compact complex manifolds -- ยง 16. Further properties of the ?y-characteristic -- ยง 17. The virtual ? y-characteristic -- ยง 18. Some fundamental theorems of Kodaira -- ยง 19. The virtual ? y-characteristic for algebraic manifolds -- ยง 20. The Riemann-Roch theorem for algebraic manifolds and complex analytic line bundles -- ยง21. The Riemann-Roch theorem for algebraic manifolds and complex analytic vector bundles -- ยง 26. Integrality theorems for differentiate manifolds -- A spectral sequence for complex analytic bundles