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Witt groups of complex cellular varieties

Published 16 Nov 2010 in math.KT, math.AG, and math.AT | (1011.3757v3)

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.

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