2 citations · 2 across the 3 of their papers we have counts for
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A few computations about the real cycle class map in low dimensions
Jens Hornbostel
We investigate the surjectivity of the real cycle class map from -cohomology to classical intergral cohomology for some real smooth varieties, in particular surfaces. This might…
Real Topological Hochschild Homology of Perfectoid Rings
Jens Hornbostel, Doosung Park
We refine several results of Bhatt-Morrow-Scholze on THH to THR. In particular, we compute THR of perfectoid rings. This will be useful for establishing motivic filtrations on real…
Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups
Jens Hornbostel, Herman Rohrbach, Marcus Zibrowius
We study equivariant Hermitian K-theory for representations of symplectic groups, especially . The results are used to establish an Atiyah-Segal completion theorem f…
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…
Hermitian K-theory of the integers
A. J. Berrick, M. Karoubi
The 2-primary torsion of the higher algebraic K-theory of the integers has been computed by Rognes and Weibel. In this paper we prove analogous results for the Hermitian K-theory o…