Caractere elliptique et opérations cohomologiques
DOI:
https://doi.org/10.22199/S07160917.1998.0002.00003Abstract
Theorem 4-6 of [6] gives the expression of Todd character in terms of Landweber-Novikov cohomology operations. In this paper we generalise this result to any I -oriented cohomology theory, and express elliptic character by means of Landweber-Novikov operations.
References
[1] V.M. Bukhshtaber, Characteristic classes in Cobordism and topological applications of the theory of single-valued and two-valued formal groups, English transl. in J. Soviet Math. 11, no.6, (1979).
[2] F. Hirzebruch, Topological Methods in Algebraic Geometry, 3rd edition Berlin-Heidelberg, Springer (1966).
[3] A. Kheldouni and F. Lamrini, Chem-Dold Character in Elliptic Cohomology,Extracta Mathematicae, vol.10 Num.2, 1-5, (1995).
[4] P.S. Landweber, Elliptic Curves and Modular Forms, L.N.M. 1326, Berlin-Heidelberg, Springer (1988).
[5] P.S. Landweber, Homological Properties of Comodules over MU*(MU) and BP*(BP), American J. of Math. vol. 98 no.3 pp 591-610.
[6] L. Smith, The Todd Character and Cohomology Operations, Advances in Mathematics, 10 (1973), pp 72-92.
[7] R.E. Stong, Notes on Cobordism Theory, McGraw-Hill, (1968).
[8] D. Zagier, Note on the Landweber-Stong elliptic genus, L.N.M. 1326, Berlin-Heidelberg, Springer (1988).
[2] F. Hirzebruch, Topological Methods in Algebraic Geometry, 3rd edition Berlin-Heidelberg, Springer (1966).
[3] A. Kheldouni and F. Lamrini, Chem-Dold Character in Elliptic Cohomology,Extracta Mathematicae, vol.10 Num.2, 1-5, (1995).
[4] P.S. Landweber, Elliptic Curves and Modular Forms, L.N.M. 1326, Berlin-Heidelberg, Springer (1988).
[5] P.S. Landweber, Homological Properties of Comodules over MU*(MU) and BP*(BP), American J. of Math. vol. 98 no.3 pp 591-610.
[6] L. Smith, The Todd Character and Cohomology Operations, Advances in Mathematics, 10 (1973), pp 72-92.
[7] R.E. Stong, Notes on Cobordism Theory, McGraw-Hill, (1968).
[8] D. Zagier, Note on the Landweber-Stong elliptic genus, L.N.M. 1326, Berlin-Heidelberg, Springer (1988).
Published
2018-04-04
How to Cite
[1]
A. Kheldouni and F. Lamrini, “Caractere elliptique et opérations cohomologiques”, Proyecciones (Antofagasta, On line), vol. 17, no. 2, pp. 177-188, Apr. 2018.
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