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Manifolds and Modular Forms

  • Book
  • © 1992

Overview

Authors:
  1. Friedrich Hirzebruch

    1. Max-Planck-Institut für Mathematik, Bonn 3, Germany

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  2. Thomas Berger

    1. Max-Planck-Institut für Mathematik, Bonn 3, Germany

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  3. Rainer Jung

    1. Max-Planck-Institut für Mathematik, Bonn 3, Germany

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Part of the book series: Aspects of Mathematics (ASMA, volume E 20)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
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  2. Background

    • Friedrich Hirzebruch, Thomas Berger, Rainer Jung
    Pages 1-21

  3. Elliptic genera

    • Friedrich Hirzebruch, Thomas Berger, Rainer Jung
    Pages 23-33

  4. A universal addition theorem for genera

    • Friedrich Hirzebruch, Thomas Berger, Rainer Jung
    Pages 35-40

  5. Multiplicativity in fibre bundles

    • Friedrich Hirzebruch, Thomas Berger, Rainer Jung
    Pages 41-56

  6. The Atiyah-Singer index theorem

    • Friedrich Hirzebruch, Thomas Berger, Rainer Jung
    Pages 57-72

  7. Twisted operators and genera

    • Friedrich Hirzebruch, Thomas Berger, Rainer Jung
    Pages 73-95

  8. Riemann-Roch and elliptic genera in the complex case

    • Friedrich Hirzebruch, Thomas Berger, Rainer Jung
    Pages 97-112

  9. A divisibility theorem for elliptic genera

    • Friedrich Hirzebruch, Thomas Berger, Rainer Jung
    Pages 113-120

  10. Back Matter

    Pages 121-212
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Keywords

Authors and Affiliations

  • Max-Planck-Institut für Mathematik, Bonn 3, Germany

    Friedrich Hirzebruch, Thomas Berger, Rainer Jung

Bibliographic Information

  • Book Title: Manifolds and Modular Forms

  • Authors: Friedrich Hirzebruch, Thomas Berger, Rainer Jung

  • Series Title: Aspects of Mathematics

  • DOI: https://doi.org/10.1007/978-3-663-14045-0

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1992

  • Softcover ISBN: 978-3-528-06414-3Published: 01 January 1992

  • eBook ISBN: 978-3-663-14045-0Published: 03 September 2013

  • Series ISSN: 0179-2156

  • Edition Number: 1

  • Number of Pages: XI, 212

  • Topics: Applications of Mathematics, Popular Science, general, Mathematics, general

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