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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.DG2018
Open manifolds with non-homeomorphic positively curved souls
David González-Álvaro, Marcus Zibrowius
We extend two known existence results to simply connected manifolds with positive sectional curvature: we show that there exist pairs of simply connected positively-curved manifold…