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On the Witt groups of projective bundles and split quadrics: geometric reasoning

Published online by Cambridge University Press:  23 July 2008

Alexander Nenashev
Alexander Nenashev
Affiliation:
Department of Mathematics, York University – Glendon College, 2275 Bayview Av., Toronto, ON, Canada M4N 3M6, nenashev@glendon.yorku.ca.
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Abstract

Formulas for the derived Witt groups of projective bundles are obtained. We deduce them from general properties of Witt theory, with the help of twisted Thom isomorphisms, avoiding explicit use of triangulated categories. Witt groups of completely split quadrics are also considered.

Keywords

Triangulated and derived Witt groupsprojective bundleThom isomorphism
Type
Research Article
Information
Journal of K-Theory , Volume 3 , Issue 3 , June 2009 , pp. 533 - 546
Copyright
Copyright © ISOPP 2009

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