67 citations · 233 across the 28 of their papers we have counts for
32 papers
A multiplicative universal property for real algebraic -theory
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We prove that the real -theory functor is lax symmetric monoidal. Moreover, it is initial among those real functors that a…
An equivalence between two frameworks for real algebraic K-theory
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We prove an equivalence between the real -theory genuine -spectra of Calmès et al. for Poincaré -categories and the one of the authors of this work for Waldhausen $…
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.
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…
Algebraic Cobordism and Étale Cohomology
Elden Elmanto, Marc Levine, Markus Spitzweck +1
Thomason's étale descent theorem for Bott periodic algebraic -theory \cite{aktec} is generalized to any module over a regular Noetherian scheme of finite dimension. Over a…