Une application du calcul "umbral" non classique en topologie algebrique
DOI:
https://doi.org/10.22199/S07160917.1996.0002.00004Abstract
En utilisant les techniques du calcul "umbral" non classiques défini par le bigroupe formel élémentaire du 1er type (b.f. e. 1) sur E*(pt)?Q, on calcule l'image de E*(HP? ) par l'homomorphisme d 'Hurewicz E ? E ? HQ, o E est un spectre-anneau dfinissant une thorif cohomologique C-orientée spéciale.
References
[1] V.M. BUKHSHTABER, Characteristic cobordism classes and topological application of the theory of one valued and two valued formal groups. Itogi Nauki i Techniki: Sovremenny Problemy Mat., Vol. 10, VINITI, Moscow, 1978, pp. 5-178; English transl.in .J.Soviet Math. 11, No. 6 (1979).
[2] V.M. BUKHSHTABER and P.S. NOVIKOV, Formal groups, power systems, and Adams operators. Mat.Sb. 84 (126), pp. 81 - 118; English transl.in Math. USSR Sb.13 (1979).
[3] A.FROHLICH, Formal groups. Lecture Notes in Mathematics, 74, Springer-Verlag, (1968).
[4] A.N.KHOLODOV, The umbral calculus on multivalued formal groups, and Adams projections in K-theory. Math.USSR Sbornik,Vol. 65, No. 2 ( 1990).
[5] P.S.LANDWEBER, Elliptic cohomology and modular forms. Lecture Notes in Mathematics, 1326, Springer-Verlag.
[6] N.RAY, Extensions of umbral calculus : pneumbral coalgebras and generalised Bernoulli numbers. Advances in Math. 61, pp. 49- 100 (1986).
[7] N.RAY, 'Symbolic calculus : A 19th century approch to MU and BP', in 'Homotopy theory'. J. D. S. Jones & E. Rees (eds), LMS Lect. Notes Ser. 117, CUP, pp. 195-238 (1987).
[8] S.ROMAN and G-C. ROTA, The umbral calculus. Advances in Math. 27, pp. 95- 188 (1978).
[9] R.E.STONG, Notes on cobordism theory. Princeton University Press, N.J., and Univ.Tokyo Press,Tokyo,(1968},
[10] R.M.SWITZER, Algebraic topology-homotopy and homology. Springer-Verlag, (1975).
[2] V.M. BUKHSHTABER and P.S. NOVIKOV, Formal groups, power systems, and Adams operators. Mat.Sb. 84 (126), pp. 81 - 118; English transl.in Math. USSR Sb.13 (1979).
[3] A.FROHLICH, Formal groups. Lecture Notes in Mathematics, 74, Springer-Verlag, (1968).
[4] A.N.KHOLODOV, The umbral calculus on multivalued formal groups, and Adams projections in K-theory. Math.USSR Sbornik,Vol. 65, No. 2 ( 1990).
[5] P.S.LANDWEBER, Elliptic cohomology and modular forms. Lecture Notes in Mathematics, 1326, Springer-Verlag.
[6] N.RAY, Extensions of umbral calculus : pneumbral coalgebras and generalised Bernoulli numbers. Advances in Math. 61, pp. 49- 100 (1986).
[7] N.RAY, 'Symbolic calculus : A 19th century approch to MU and BP', in 'Homotopy theory'. J. D. S. Jones & E. Rees (eds), LMS Lect. Notes Ser. 117, CUP, pp. 195-238 (1987).
[8] S.ROMAN and G-C. ROTA, The umbral calculus. Advances in Math. 27, pp. 95- 188 (1978).
[9] R.E.STONG, Notes on cobordism theory. Princeton University Press, N.J., and Univ.Tokyo Press,Tokyo,(1968},
[10] R.M.SWITZER, Algebraic topology-homotopy and homology. Springer-Verlag, (1975).
Published
2018-04-04
How to Cite
[1]
F. Lamrini, “Une application du calcul "umbral" non classique en topologie algebrique”, Proyecciones (Antofagasta, On line), vol. 15, no. 2, pp. 153-168, Apr. 2018.
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