53 citations · 322 across the 36 of their papers we have counts for
4 papers · 1 filter
Algebraic vector bundles and -local A^1-homotopy theory
Aravind Asok, Jean Fasel, Michael J. Hopkins
Using techniques of A^1-homotopy theory, we produce motivic lifts of elements in classical homotopy groups of spheres; these lifts provide polynomial maps of spheres and allow us t…
On the rational motivic homotopy category
Frédéric Déglise, Jean Fasel, Adeel A. Khan +1
We study the structure of the rational motivic stable homotopy category over general base schemes. Our first class of results concerns the six operations: we prove absolute purity,…
The stable Adams operations on Hermitian K-theory
Jean Fasel, Olivier Haution
We prove that exterior powers of (skew-)symmetric bundles induce a -ring structure on the ring , when is a scheme where is invertible. Using this…
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…