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

DOI10.1017/is008007001jkt050zbMath1223.19005OpenAlexW2028344269MaRDI QIDQ5323788

Alexander Nenashev

Publication date: 30 July 2009

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is008007001jkt050

zbMATH Keywords

projective bundleThom isomorphismtriangulated and derived Witt groups

Mathematics Subject Classification ID

Related Items (9)

Oriented cohomology and motivic decompositions of relative cellular spaces ⋮ On the push-forwards for motivic cohomology theories with invertible stable Hopf element ⋮ Gysin maps in Balmer-Witt theory ⋮ Witt groups of Spinor varieties ⋮ Chow-Witt rings of split quadrics ⋮ Witt groups of smooth projective quadrics ⋮ Witt Groups of Varieties and the Purity Problem ⋮ KO-rings of full flag varieties ⋮ A transfer morphism for Hermitian \(K\)-theory of schemes with involution

Cites Work

• Oriented cohomology and motivic decompositions of relative cellular spaces
• Gysin maps in oriented theories
• The general dévissage theorem for Witt groups of schemes
• Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra
• Der Wittring projektiver Räume
• Riemann-Roch and topological K-theory for singular varieties
• Triangular Witt groups. I: The 12-term localization exact sequence
• Oriented cohomology theories of algebraic varieties
• Pairings in triangular Witt theory
• Gysin maps in Balmer-Witt theory
• Products of degenerate quadratic forms
• A transfer morphism for Witt groups
• Koszul complexes and symmetric forms over the punctured affine space
• Witt cohomology, Mayer-Vietoris, homotopy invariance and the Gersten conjecture
• A note on the Witt group of \(\mathbb P^n\)
• On Witt groups with support

This page was built for publication: On the Witt groups of projective bundles and split quadrics: geometric reasoning