67 citations · 233 across the 28 of their papers we have counts for
12 papers · 1 filter
Real K-theory for Waldhausen infinity categories with genuine duality
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We develop a new framework to study real -theory in the context of -categories. For this, we introduce Waldhausen -categories with genuine duality, which will be…
On functorial (co)localization of algebras and modules over operads
Javier J. Gutiérrez, Oliver Röndigs, Markus Spitzweck +1
Motivated by calculations of motivic homotopy groups, we give widely attained conditions under which operadic algebras and modules thereof are preserved under (co)localization func…
The first stable homotopy groups of motivic spheres
Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær
We compute the 1-line of stable homotopy groups of motivic spheres over fields of characteristic not two in terms of hermitian and Milnor K-groups. This is achieved by solving ques…
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.
Algebraic Cobordism in mixed characteristic
Markus Spitzweck
We compute the geometric part of algebraic cobordism over Dedekind domains of mixed characteristic after inverting the positive residue characteristics and prove cases of a Conject…
Another viewpoint on J-spaces
Markus Spitzweck
We give an interpretation of J-spaces in terms of symmetric spectra in symmetric sequences. As application we show how one can define graded endomorphism objects in a general situa…