3 papers
math.KT2018
Chow-Witt rings of split quadrics
Jens Hornbostel, Heng Xie, Marcus Zibrowius
We compute the Chow-Witt rings of split quadrics over a field of characteristic not two. We even determine the full bigraded I-cohomology and Milnor-Witt cohomology rings, includin…
math.DG2017
The stable converse soul question for positively curved homogeneous spaces
David González-Álvaro, Marcus Zibrowius
The stable converse soul question (SCSQ) asks whether, given a real vector bundle \(E\) over a compact manifold, some stabilization \(E\times\R^k\) admits a metric with non-negativ…
math.KT2010
Witt groups of complex cellular varieties
Marcus Zibrowius
We show that the Grothendieck-Witt and Witt groups of smooth complex cellular varieties can be identified with their topological KO-groups. As an application, we deduce the values…