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Note on the Landweber-Stong elliptic genus

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. 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.

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  2. D.V. Chudnovsky and G.V. Chudnovsky: Elliptic modular functions and elliptic genera. To appear in Topology.

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  3. M. Eichler and D. Zagier: The Theory of Jacobi Forms. Progress in Math. 55, Birkhäuser, Boston-Basel-Stuttgart 1985.

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  4. P. Landweber and R.E. Stong: Circle actions on Spin manifolds and characteristic numbers. To appear in Topology.

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  5. S. Ochanine: Sur les genres multiplicatifs définis par des intégrales elliptiques. To appear in Topology 26 (1987) 143–151

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  6. E. Witten: The index of the Dirac operator in loop space. To appear in this volume.

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© 1988 Springer-Verlag

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Zagier, D. (1988). Note on the Landweber-Stong elliptic genus. In: Landweber, P.S. (eds) Elliptic Curves and Modular Forms in Algebraic Topology. Lecture Notes in Mathematics, vol 1326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078047

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  • DOI: https://doi.org/10.1007/BFb0078047

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19490-3

  • Online ISBN: 978-3-540-39300-9

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