20 citations · 62 across the 10 of their papers we have counts for
8 papers · 1 filter
Quadratic Riemann-Roch formulas
Frédéric Déglise, Jean Fasel
In this article, we produce Grothendieck-Riemann-Roch formulas for cohomology theories that are not oriented in the classical sense. We then specialize to the case of cohomology th…
Lectures on Chow-Witt groups
Jean Fasel
In these lectures, we provide a toolkit to work with Chow-Witt groups, and more generally with the homology and cohomology of the Rost-Schmid complex associated to Milnor-Witt -…
Motivic spheres and the image of the Suslin--Hurewicz map
Aravind Asok, Jean Fasel, Ben Williams
We show that an old conjecture of A.A. Suslin characterizing the image of a Hurewicz map from Quillen K-theory in degree to Milnor K-theory in degree admits an interpretati…
The Milnor-Witt motivic ring spectrum and its associated theories
Frédéric Déglise, Jean Fasel
We build a ring spectrum representing Milnor-Witt motivic cohomology, as well as its étale local version and show how to deduce out of it three other theories: Borel-Moore homology…
A comparison theorem for MW-motivic cohomology
Baptiste Calmès, Jean Fasel
We prove that for a finitely generated field over an infinite perfect field k, and for any integer n, the (n,n)-th MW-motivic cohomology group identifies with the n-th Milnor-Witt…
A cancellation theorem for Milnor-Witt correspondences
Jean Fasel, Paul Arne Østvær
We show that finite Milnor-Witt correspondences satisfy a cancellation theorem with respect to the pointed multiplicative group scheme. This has several notable applications in the…