Witt groups of complex cellular varieties
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 of the Witt groups of all irreducible hermitian symmetric spaces, including smooth complex quadrics, spinor varieties and symplectic Grassmannians.
Cite this article
Marcus Zibrowius, Witt groups of complex cellular varieties. Doc. Math. 16 (2011), pp. 465–511DOI 10.4171/DM/339