8 citations · 16 across the 3 of their papers we have counts for
8 papers
The second stable homotopy groups of motivic spheres
Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær
We compute the 2-line of stable homotopy groups of motivic spheres over fields of characteristic not two in terms of motivic cohomology and hermitian K-groups.
Remarks on motivic Moore spectra
Oliver Röndigs
The term "motivic Moore spectrum" refers to a cone of an element in the motivic stable homotopy groups of spheres. This article discusses some properties of motivic Moore spectra,…
The homotopy groups of the η-periodic motivic sphere spectrum
Kyle Ormsby, Oliver Röndigs
We compute the homotopy groups of the η-periodic motivic sphere spectrum over a finite-dimensional field k with characteristic not 2 and in which -1 a sum of four squares. We also…
Hermitian -theory, Dedekind -functions, and quadratic forms over rings of integers in number fields
Jonas Irgens Kylling, Oliver Röndigs, Paul Arne Østvær
We employ the slice spectral sequence, the motivic Steenrod algebra, and Voevodsky's solutions of the Milnor and Bloch-Kato conjectures to calculate the hermitian -groups of rin…
Gigantic random simplicial complexes
Jens Grygierek, Martina Juhnke-Kubitzke, Matthias Reitzner +2
We provide a random simplicial complex by applying standard constructions to a Poisson point process in Euclidean space. It is gigantic in the sense that - up to homotopy equivalen…
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.