Invariants, torsion indices and oriented cohomology of complete flags

Abstract : In the present paper we generalize the classical work of Demazure [Invariants symétriques entiers des groupes de {W}eyl et torsion] to arbitrary oriented cohomology theories and formal group laws. As an application we provide a general algorithm to compute an oriented cohomology of a complete flag variety. Examples include Chow groups, Grothendieck K-groups, connective K-theory, algebraic cobordism of Levine-Morel, etc.
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https://hal-univ-artois.archives-ouvertes.fr/hal-00424545
Contributor : Baptiste Calmès <>
Submitted on : Friday, October 16, 2009 - 12:01:27 PM
Last modification on : Wednesday, July 27, 2016 - 2:48:48 PM

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  • HAL Id : hal-00424545, version 1
  • ARXIV : 0905.1341

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Baptiste Calmès, Victor Petrov, Kirill Zainoulline. Invariants, torsion indices and oriented cohomology of complete flags. 2009. ⟨hal-00424545⟩

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