11 citations · 42 across the 23 of their papers we have counts for
4 papers · 1 filter
Motivic stable homotopy groups
Daniel C. Isaksen, Paul Arne Østvær
We survey computations of stable motivic homotopy groups over various fields. The main tools are the motivic Adams spectral sequence, the motivic Adams-Novikov spectral sequence, a…
Cellularity of hermitian K-theory and Witt theory
Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær
Hermitian K-theory and Witt-theory are cellular in the sense of stable motivic homotopy theory over any base scheme without points of characteristic two.
Motivic strict ring models for K-theory
Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær
It is shown that the K-theory of every noetherian base scheme of finite Krull dimension is represented by a strict ring object in the setting of motivic stable homotopy theory. The…
Homotopy theory of C*-algebras
Paul Arne Østvær
In this work we construct from ground up a homotopy theory of C*-algebras. This is achieved in parallel with the development of classical homotopy theory by first introducing an un…