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Preprints, Working Papers, ... Year : 2009

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.

Dates and versions

hal-00424545 , version 1 (16-10-2009)

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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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UNIV-ARTOIS INSMI
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