208 citations · 748 across the 28 of their papers we have counts for
33 papers
On P^1-stabilization in unstable motivic homotopy theory
Aravind Asok, Tom Bachmann, Michael J. Hopkins
We analyze stabilization with respect to in the Morel--Voevodsky unstable motivic homotopy theory. We introduce a refined notion of cellularity (a.k.a., biconnectiv…
On the Whitehead theorem for nilpotent motivic spaces
Aravind Asok, Tom Bachmann, Michael J. Hopkins
We improve some foundational connectivity results and the relative Hurewicz theorem in motivic homotopy theory, study functorial central series in motivic local group theory, estab…
Comparing Dualities in the -local Category
Paul G. Goerss, Michael J. Hopkins
In their work on the period map and the dualizing sheaf for Lubin-Tate space, Gross and the second author wrote down an equivalence between the Spanier-Whitehead and Brown-Comenetz…
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…
-periodic motivic stable homotopy theory over fields
Tom Bachmann, Michael J. Hopkins
Over any field of characteristic not 2, we establish a 2-term resolution of the -periodic, 2-local motivic sphere spectrum by shifts of the connective 2-local Witt K-theory spec…
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…