53 citations · 322 across the 36 of their papers we have counts for
5 papers · 1 filter
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 -…
Localization and nilpotent spaces in A^1-homotopy theory
Aravind Asok, Jean Fasel, Michael J. Hopkins
For a subring of the rational numbers, we study -localization functors in the local homotopy theory of simplicial presheaves on a small site and then in -homo…
The Borel character
Frédéric Déglise, Jean Fasel
The main purpose of this article is to define a quadratic analog of the Chern character, the so-called Borel character, which identifies rational higher Grothendieck-Witt groups wi…
Borel isomorphism and absolute purity
Frédéric Déglise, Jean Fasel, Fangzhou Jin +1
We prove absolute purity for the rational motivic sphere spectrum. The main ingredient is the construction of an analogue of the Chern character, where algebraic K-theory is replac…
Rank weights for arbitrary finite field extensions
Grégory Berhuy, Jean Fasel, Odile Garotta
In this paper, we study several definitions of generalized rank weights for arbitrary finite extensions of fields. We prove that all these definitions coincide, generalizing known…