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On the complex cobordism ring as a Fock representation

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References

  1. J. Frank Adams, Stable homotopy and generalized homology, University of Chicago Press (1974).

    Google Scholar 

  2. A. A. Beilinson, Yu. I. Manin, V. V. Schechtman, Sheaves of Virasoro and Neven-Schwartz algebras, in Lecture notes 1289 (1989), 52–66.

    MathSciNet  Google Scholar 

  3. N. D. Choi, G. A. Elliot, N. Yui, Gauss polynomials and the rotation algebra, in Proc. Annapolis conference on operator algebras and knot theory (1988).

    Google Scholar 

  4. P. E. Conner, E. E. Floyd, Differentiable periodic maps, Springer Ergebnisse 33 (1964).

    Google Scholar 

  5. M. Demazure, P. Gabriel, Groupes algebriques, North-Holland (1970).

    Google Scholar 

  6. J. D. Fay, Theta-functions on Riemann surfaces, Lecture notes no. 352 (1973).

    Google Scholar 

  7. D. B. Fuks, Cohomology of infinite-dimensional Lie algebras, New York, Consultant's Bureau (1986).

    Google Scholar 

  8. C. Gawedski, Conformal field theory, Séminaire Bourbaki no. 704 (1988).

    Google Scholar 

  9. R. C. Gunning, Lectures on Riemann surfaces, Princeton mathematical notes, no. 2 (1966).

    Google Scholar 

  10. Y. Ihara, Non-abelian invariant differentials and Schwarzian equations in the p-adic theory of automorphic forms, in Seminar on modern methods in number theory, Tokyo (1971).

    Google Scholar 

  11. T. Katsura, Y. Shimizu, K. Ueno, New bosonization and conformal field theory over ℤ, Comm. Math. Physics (to appear).

    Google Scholar 

  12. -, Formal groups and conformal field theory over ℤ, Advanced Studies in Pure Mathematics 19 (1989), 1001–1020.

    MathSciNet  MATH  Google Scholar 

  13. N. Kawamoto, Y. Namikawa, A. Tsuchiya, Y. Yamada, Geometric realization of conformal field theory on Riemann surfaces, Comm. Math. Physics 116 (1988), 306–368.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. I. M. Krichever, S. P. Novikov, Virasoro-type algebras, Riemann surfaces, and strings in Minkowski space, Functional analysis and its applications 21 (1987), 294–307.

    CrossRef  MATH  Google Scholar 

  15. P. S. Landweber, Cobordism operations and Hopf algebras, Trans. Amer. Math. Soc. 129 (1967), 94–110.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. -, Elliptic curves and modular forms in algebraic topology, Springer, Lecture notes no. 1326 (1988).

    Google Scholar 

  17. I. C. MacDonald, Symmetric functions and Hall polynomials. Oxford University Press (1979).

    Google Scholar 

  18. J. Milnor, On the cobordism ring and a complex analogue, Amer. J. Math. 82 (1960), 505–521.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. J. Morava, Forms of K-theory, Math. Zeitschrift (to appear).

    Google Scholar 

  20. —, Noetherian localizations, Ann. Math. 121 (1985), 1–39.

    CrossRef  MathSciNet  MATH  Google Scholar 

  21. S. P. Novikov, The methods of algebraic topology from the point of view of cobordism theories, Math. USSR (Izvestija) 1 (1967), 827–913.

    CrossRef  Google Scholar 

  22. A. Pressley, G. Segal, Loop groups, Oxford University Press (1986).

    Google Scholar 

  23. D. Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Adv. in Math. 7 (1971), 29–51.

    CrossRef  MathSciNet  MATH  Google Scholar 

  24. N. Ray, Symbolic calculus; a 19th century approach to BP, in Homotopy Theory, Durham (1985), Ed. E. Rees, J. D. S. Jones, London Math. Society Lecture Notes 117 (1987), 195–238.

    Google Scholar 

  25. K. Saito, Moduli space for Fuchsian groups, in Algebraic Analysis II, Academic Press (1988).

    Google Scholar 

  26. G. Segal, Unitary representations of some infinite-dimensional groups, Comm. Math. Physics 80 (1981), 301–342.

    CrossRef  MathSciNet  MATH  Google Scholar 

  27. —, Elliptic cohomology, Séminaire Bourbaki, no. 695 (1988).

    Google Scholar 

  28. —, The definition of a conformal field theory, to appear.

    Google Scholar 

  29. —, G. Wilson, Loop groups and equations of KdV type, Publications Mathématiques, I.H.E.S. no. 61 (1985), 5–65.

    Google Scholar 

  30. J. P. Serre, Linear representations of finite groups, Springer Graduate Texts 42 (1977).

    Google Scholar 

  31. H. Tamanoi, Hyperelliptic genera, thesis, the Johns Hopkins University, (1987).

    Google Scholar 

  32. R. Thom, Quelques propriétés globales des variétés différentiables, Comm. Math. Helv. 28 (1954), 17–86.

    CrossRef  MathSciNet  MATH  Google Scholar 

  33. A. N. Tyurin, On periods of quadratic differentials, Russian Math. Surveys 33:6 (1978), 169–221.

    CrossRef  MathSciNet  MATH  Google Scholar 

  34. J. L. Verdier, Groupes quantiques, Séminaire Bourbaki, no. 685 (1987).

    Google Scholar 

  35. W. S. Wilson, Brown-Peterson homology, an introduction and sampler, CBMS series, AMS 48 (1980).

    Google Scholar 

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Morava, J. (1990). On the complex cobordism ring as a Fock representation. In: Mimura, M. (eds) Homotopy Theory and Related Topics. Lecture Notes in Mathematics, vol 1418. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083703

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  • DOI: https://doi.org/10.1007/BFb0083703

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