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Elliptic Curves and Modular Forms in Algebraic Topology pp 55–68Cite as

Elliptic cohomology and modular forms

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1326))

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References

  1. N.A. Baas: On bordism theories of manifolds with singularities, Math. Scand. 33 (1973), 279–302.

    MathSciNet  MATH  Google Scholar 

  2. K. Chandrasekharan: Elliptic Functions, Springer-Verlag, 1985.

    Google Scholar 

  3. D.V. Chudnovsky and G.V. Chudnosky: Elliptic modular functions and elliptic genera, Topology, to appear.

    Google Scholar 

  4. D.V. Chudnovsky and G.V. Chudnovsky: letter dated February 6, 1986.

    Google Scholar 

  5. D.V. Chudnovsky, G.V. Chudnovsky, P.S. Landweber, S. Ochanine and R.E. Stong: Integrality and divisibility of elliptic genera, in preparation.

    Google Scholar 

  6. B.H. Gross: letter dated April 7, 1986.

    Google Scholar 

  7. F. Hirzebruch: Topological Methods in Algebraic Geometry, Springer-Verlag, 1966.

    Google Scholar 

  8. J. Igusa: On the transformation theory of elliptic functions, Amer. J. Math. 81 (1959), 436–452.

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Igusa: On the algebraic theory of elliptic modular functions, J. Math. Soc. Japan 20 (1968), 96–106.

    Article  MathSciNet  MATH  Google Scholar 

  10. D. Jackson: Fourier Series and Orthogonal Polynomials, Math. Assoc. Amer., 1941.

    Google Scholar 

  11. M. Kervaire and J. Milnor: Bernoulli numbers, homotopy groups and a theorem of Rohlin, Proc. Int. Cong. Math., Edinburgh (1958), 454–458.

    Google Scholar 

  12. P.S. Landweber: Homological properties of comodules over MU*MU and BP*BP, Amer. J. Math. 98 (1976), 591–610.

    Article  MathSciNet  MATH  Google Scholar 

  13. P.S. Landweber: Supersingular elliptic curves and congruences for Legendre polynomials, in this volume.

    Google Scholar 

  14. P.S. Landweber, D.C. Ravenel and R.E. Stong: Periodic cohomology theories defined by elliptic curves, in preparation.

    Google Scholar 

  15. P.S. Landweber and R.E. Stong: Circle actions on Spin manifolds and characteristic numbers, Topology, to appear.

    Google Scholar 

  16. O.K. Mironov: Multiplications in cobordism theories with singularities, and Steenrod-tom Dieck operations, Izv. Akad. Nauk SSSR, Ser. Mat. 42 (1978), 789–806 = Math. USSR Izvestija 13 (1979), 89–106.

    MathSciNet  Google Scholar 

  17. S. Ochanine: Signature modulo 16, invariants de Kervaire généralisés, et nombres caractéristiques dans la K-théorie réelle, Supplément au Bull. Soc. Math. France 109 (1981), Mémoire n° 5.

    Google Scholar 

  18. S. Ochanine: Sur les genres multiplicatifs définis par des intégrales elliptiques, Topology 26 (1987), 143–151.

    Article  MathSciNet  MATH  Google Scholar 

  19. E. Witten: Elliptic genera and quantum field theory, Communications in Mathematical Physics 109 (1987), 525–536.

    Article  MathSciNet  MATH  Google Scholar 

  20. D. Zagier: Note on the Landweber-Stong elliptic genus, in this volume.

    Google Scholar 

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Authors and Affiliations

  1. Rutgers University, 08903, New Brunswick, NJ

    Peter S. Landweber

  2. Institute for Advanced Study, 08540, Princeton, NJ

    Peter S. Landweber

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  1. Peter S. Landweber
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Peter S. Landweber

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© 1988 Springer-Verlag

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Landweber, P.S. (1988). Elliptic cohomology and modular forms. 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/BFb0078038

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  • DOI: https://doi.org/10.1007/BFb0078038

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19490-3

  • Online ISBN: 978-3-540-39300-9

  • eBook Packages: Springer Book Archive

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