Witt groups of complex cellular varieties
Documenta mathematica, Tome 16 (2011), pp. 465-511
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.
Classification :
11E81, 19G99, 19L99, 32M15
Mots-clés : Witt groups, Hermitian symmetric spaces, KO-theory, projective homogeneous varieties
Mots-clés : Witt groups, Hermitian symmetric spaces, KO-theory, projective homogeneous varieties
@article{10_4171_dm_339,
author = {Marcus Zibrowius},
title = {Witt groups of complex cellular varieties},
journal = {Documenta mathematica},
pages = {465--511},
year = {2011},
volume = {16},
doi = {10.4171/dm/339},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/339/}
}
Marcus Zibrowius. Witt groups of complex cellular varieties. Documenta mathematica, Tome 16 (2011), pp. 465-511. doi: 10.4171/dm/339
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