Hermitian \(K\)-theory on a theorem of Giffen

DOI10.1007/s10977-004-0929-5zbMath1070.19006OpenAlexW2004118324MaRDI QIDQ1770801

Marco Schlichting

Publication date: 7 April 2005

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10977-004-0929-5

zbMATH Keywords

Hermitian \(K\)-theory\(Q\)-constructionexact categories with duality

Mathematics Subject Classification ID

(K)-theory of quadratic and Hermitian forms (11E70) (Q)- and plus-constructions (19D06) Hermitian (K)-theory, relations with (K)-theory of rings (19G38)

Related Items

Group completion in the \(K\)-theory and Grothendieck-Witt theory of proto-exact categories ⋮ Algebraic \(K\)-theory and Grothendieck-Witt theory of monoid schemes ⋮ Equivariant loops on classifying spaces ⋮ Hermitian \(K\)-theory, derived equivalences and Karoubi's fundamental theorem ⋮ On the motivic commutative ring spectrum $\mathbf {BO}$ ⋮ Geometric models for higher Grothendieck-Witt groups in \(\mathbb A^1\)-homotopy theory ⋮ HIGHER -THEORY OF FORMS I. FROM RINGS TO EXACT CATEGORIES ⋮ Splitting vector bundles outside the stable range and 𝔸¹-homotopy sheaves of punctured affine spaces

Cites Work

• On a theorem of Giffen
• Le théorème fondamental de la K-théorie hermitienne
• Chain complexes and stable categories
• Hermitian \(\mathcal{U}\)-theory of exact categories with duality functors
• First quadrant spectral sequences in algebraic k-theory via homotopy colimits
• Higher algebraic K-theory: I
• Classifying spaces and fibrations
• LOCALIZATION IN HERMITIAN $K$-THEORY OF RINGS