A 1 -representability of hermitian K-theory and Witt groups

2005

102 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/796a86554d0227f7c7dab4e6f073e59ec722bf2b

Citations in the corpus

• On the motivic commutative ring spectrum BO. (2010, unknown): “[8] J. Hornbostel, A1-representability of Hermitian K-theory and Witt groups, Topology, 44 (2005), pp. 661–687.”
• On the Motivic π0 of the Sphere Spectrum (2004, unknown): “To do this we use a result by Hornbostel [6] establishing that the above presheaf is represented by an S(1)-spectrum KW ∈ Sp 1 (VNis) in the sense that W (X) ∼= [X+, KW ].”
• Hermitian K -theory of exact categories (2010, unknown): “A proof can also be found in [ Hor05 , Proposition 3.3].”
• Remarks on motivic homotopy theory over algebraically closed fields (2011, unknown): “The fact that the 2-complete homotopy groups of O M ot vanish in dimensions 5 mod 8 now follows from the results of Hornbostel [9], (the definition of the motivic orthogonal spectrum on p. 678, and Definition 4.1 on p. 674), in conjunction with the calculations of Karoubi [13].”
• Hermitian K-theory, derived equivalences and Karoubi's fundamental theorem (2012, unknown): “Notably, Karoubi proved his Fundamental Theorem for Z[1/2]-algebras with involution in [Kar80], and Hornbostel proved Nisnevich descent and a version of the Projective Line Bundle Theorem both in the case of regular noetherian separated Z[1/2]-schemes in [Hor05].”
• Geometric models for higher Grothendieck-Witt groups in A1-homotopy theory (2013, unknown): “For higher Grothendieck–Witt theory, the first step was proved by Hornbostel for affine schemes in [4].”
• The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes (2008, unknown): “More recently, Balmer [1] and Hornbostel [10] proved results reminiscent of our Theorems 1–3.”