29 citations · 138 across the 15 of their papers we have counts for
9 papers · 1 filter
Milnor-Witt Motives
Tom Bachmann, Baptiste Calmès, Frédéric Déglise +2
We develop the theory of Milnor-Witt motives and motivic cohomology. Compared to Voevodsky's theory of motives and his motivic cohomology, the first difference appears in our defin…
Relative equivariant motives and modules
Baptiste Calmès, Alexander Neshitov, Kirill Zainoulline
We introduce and study various categories of (equivariant) motives of (versal) flag varieties. We relate these categories with certain categories of parabolic (Demazure) modules. W…
Finite Chow-Witt correspondences
Baptiste Calmès, Jean Fasel
We introduce the category of finite Chow-Witt correspondences over a perfect field k of characteristic not 2. We then use them to define bigraded generalized motivic cohomology gro…
Equivariant oriented cohomology of flag varieties
Baptiste Calmès, Kirill Zainoulline, Changlong Zhong
Given an equivariant oriented cohomology theory , a split reductive group , a maximal torus in , and a parabolic subgroup containing , we explain how the -eq…
Push-pull operators on the formal affine Demazure algebra and its dual
Baptiste Calmès, Kirill Zainoulline, Changlong Zhong
In the present paper we introduce and study the push pull operators on the formal affine Demazure algebra and its dual. As an application we provide a non-degenerate pairing on the…
Invariants, torsion indices and oriented cohomology of complete flags
Baptiste Calmès, Victor Petrov, Kirill Zainoulline
In the present notes we generalize the classical work of Demazure [Invariants symétriques entiers des groupes de Weyl et torsion] to arbitrary oriented cohomology theories and form…
Witt groups of Grassmann varieties
Paul Balmer, Baptiste Calmès
We compute the total Witt groups of (split) Grassmann varieties, over any regular base X. The answer is a free module over the total Witt ring of X. We provide an explicit basis fo…
Geometric description of the connecting homomorphism for Witt groups
Paul Balmer, Baptiste Calmès
We give a geometric setup in which the connecting homomorphism in the localization long exact sequence for Witt groups decomposes as the pull-back to the exceptional fiber of a sui…
Push-forwards for Witt groups of schemes
Baptiste Calmès, Jens Hornbostel
We define push-forwards for Witt groups of schemes along proper morphisms, using Grothendieck duality theory. This article is an application of results of the authors on tensor-tri…