Caractere elliptique et opérations cohomologiques

• Kheldouni, Abdelaziz ^[1] ; Lamrini, Fayçal ^[1]
  1. [1] Université Mohammed Benabdallah.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 17, Nº. 2, 1998, págs. 177-188
• Idioma: inglés
• DOI: 10.22199/S07160917.1998.0002.00003
• Enlaces
  • Texto completo
• Resumen

  • 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.

• Referencias bibliográficas
  • Citas [1] V.M. Bukhshtaber, Characteristic classes in Cobordism and topological applications of the theory of single-valued and two-valued...
  • [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).