One. Preparatory material.
§ 1. Multiplicative sequences.
§2. Sheaves.
§3. Fibre bundles.
§ 4. Characteristic classes.
Two. The cobordism ring.
§ 5. Pontrjagin numbers.
§ 6. The ring $$\tilde \Omega \otimes \mathcal{Q}$$ ?Q.
§ 7. The cobordism ring ?.
§ 8. The index of a 4 k
dimensional manifold.
§ 9. The virtual index.
Three. The Todd genus.
§ 10. Definition of the Todd genus.
§ 11. The virtual generalised Todd genus.
§ 12. The T
characteristic of a GL(q, C)
bundle.
§ 13. Split manifolds and splitting methods.
§ 14. Multiplicative properties of the Todd genus.
Four. The Riemann
Roch theorem for algebraic manifolds.
§ 15. Cohomology of compact complex manifolds.
§ 16. Further properties of the ?y
characteristic.
§ 17. The virtual ? y
characteristic.
§ 18. Some fundamental theorems of Kodaira.
§ 19. The virtual ? y
characteristic for algebraic manifolds.
§ 20. The Riemann
Roch theorem for algebraic manifolds and complex analytic line bundles.
§21. The Riemann
Roch theorem for algebraic manifolds and complex analytic vector bundles.
§ 26. Integrality theorems for differentiate manifolds.
A spectral sequence for complex analytic bundles.
