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Note on the Landweber-Stong elliptic genus

  • Don Zagier
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1326)

Keywords

Power Series Modular Form Eisenstein Series Elliptic Genus Jacobi Form 
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References

  1. 1.
    M.F. Atiyah and F. Hirzebruch: Spin-manifolds and group actions. In: Essays on Topology and Related Topics (Mémoires dédiés à Georges de Rham), pp. 18–26. Springer, New York 1970.CrossRefGoogle Scholar
  2. 2.
    D.V. Chudnovsky and G.V. Chudnovsky: Elliptic modular functions and elliptic genera. To appear in Topology.Google Scholar
  3. 3.
    M. Eichler and D. Zagier: The Theory of Jacobi Forms. Progress in Math. 55, Birkhäuser, Boston-Basel-Stuttgart 1985.Google Scholar
  4. 4.
    P. Landweber and R.E. Stong: Circle actions on Spin manifolds and characteristic numbers. To appear in Topology.Google Scholar
  5. 5.
    S. Ochanine: Sur les genres multiplicatifs définis par des intégrales elliptiques. To appear in Topology 26 (1987) 143–151MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    E. Witten: The index of the Dirac operator in loop space. To appear in this volume.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Don Zagier
    • 1
    • 2
  1. 1.University of MarylandCollege Park
  2. 2.Max-Planck-Institut für MathematikBonnFRG

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