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math.AG2025
Hermitian -theory and Milnor-Witt motivic cohomology over
Håkon Kolderup, Oliver Röndigs, Paul Arne Østvær
The theme of this paper is to compute hermitian -groups in terms of the recently developed theory of Milnor-Witt motivic cohomology. Our approach makes use of the very effective…
math.AG2021
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.
math.AG2007★ 8 cited
A universality theorem for Voevodsky's algebraic cobordism spectrum
I. Panin, K. Pimenov, O. Röndigs
An algebraic version of a theorem due to Quillen is proved. More precisely, for a ground field k we consider the motivic stable homotopy category SH(k) of P^1-spectra equipped with…