53 citations · 322 across the 36 of their papers we have counts for
4 papers · 1 filter
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…
Smooth models of motivic spheres
Aravind Asok, Brent Doran, Jean Fasel
We study the representability of motivic spheres by smooth varieties. We show that certain explicit "split" quadric hypersurfaces have the -homotopy type of motivic sp…
An explicit KO-degree map and applications
Aravind Asok, Jean Fasel
The goal of this note is to study the analog in unstable -homotopy theory of the unit map from the motivic sphere spectrum to the Hermitian K-theory spectrum, i.e.…
Algebraic vs. topological vector bundles on spheres
Aravind Asok, Jean Fasel
We study the problem of when a topological vector bundle on a smooth complex affine variety admits an algebraic structure. We prove that all rank topological complex vector bun…