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>