Witt groups of complex cellular varieties

Details Witt groups of complex cellular varieties Witt groups of complex cellular varieties

2010-11-16

arxiv.org/abs/1011.3757v3

Documenta Math. 16 (2011) 465--511

Mathematics

K-Theory and Homology

43 pages. This is the final version, identical in content to the paper published in Documenta Mathematica

Scientific paper

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.

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