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arxiv: 1011.3757 · v3 · pith:LARZ32WCnew · submitted 2010-11-16 · 🧮 math.KT · math.AG· math.AT

Witt groups of complex cellular varieties

classification 🧮 math.KT math.AGmath.AT
keywords complexgroupsvarietieswittcellularsmoothapplicationdeduce
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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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