Oriented Chow groups, Hermitian K-theory and the Gersten conjecture, by Jens Hornbostel

We show that the oriented Chow groups of Barge-Morel appear in the E_2-term of the coniveau spectral sequence for hermitian K-theory. This includes a localization theorem and the Gersten conjecture (over infinite base fields) for Hermitian K-theory. We also discuss the conjectural relationship between oriented and higher oriented Chow groups and Levine's homotopy coniveau spectral sequence when applied to Hermitian K-theory.


Jens Hornbostel <jens.hornbostel@mathematik.uni-regensburg.de>