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OverviewFull Product DetailsAuthor: R.L.E. Schwarzenberger , Friedrich Hirzebruch , R.L.E. Schwarzenberger , A. BorelPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Reprint of the 1st ed Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.467kg ISBN: 9783540586630ISBN 10: 3540586636 Pages: 234 Publication Date: 15 February 1995 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsOne. 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.ReviewsAuthor InformationBiography of Friedrich Hirzebruch Friedrich Hirzebruch was born on October 17, 1927 in Hamm, Germany. He studied mathematics at the University of Munster and the ETH Zurich, under Heinrich Behnke and Heinz Hopf. Shortly after the award of his doctoral degree in 1950, he obtained an assistantship in Erlangen and then a membership at the Institute for Advanced Study, Princeton, followed by an assistant professorship at Princeton University. In 1956 he returned to Germany to a chair at the University of Bonn, which he held until his retirement in 1993. Since 1980 he has been the Director of the Max Planck Institute for Mathematics in Bonn. Hirzebruch's work has been fundamental in combining topology, algebraic and differential geometry and number theory. It has had a deep and far-reaching influence on the work of many others, who have expanded and generalized his ideas. His most famous result is the theorem of Riemann-Roch-Hirzebruch. Tab Content 6Author Website:Countries AvailableAll regions |
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