Witt groups of complex cellular varieties
K-Theory and Homology
2011-06-28 v3 Algebraic Geometry
Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.1011.3757,
title = {Witt groups of complex cellular varieties},
author = {Marcus Zibrowius},
journal= {arXiv preprint arXiv:1011.3757},
year = {2011}
}
Comments
43 pages. This is the final version, identical in content to the paper published in Documenta Mathematica