Slices of Hermitian \(K\)-theory and Milnor's conjecture on quadratic forms

DOI10.2140/gt.2016.20.1157zbMath1416.19001arXiv1311.5833OpenAlexW1538908396WikidataQ123015912 ScholiaQ123015912MaRDI QIDQ280923

Oliver Röndigs, Paul Arne Østvær

Publication date: 10 May 2016

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5833

zbMATH Keywords

quadratic formsmotivic cohomologyslices of Hermitian \(K\)-theory and Witt theory

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) (K)-theory of quadratic and Hermitian forms (11E70) Stable homotopy theory, spectra (55P42) Motivic cohomology; motivic homotopy theory (14F42) Hermitian (K)-theory, relations with (K)-theory of rings (19G38) General theory of spectral sequences in algebraic topology (55T05)

Related Items (17)

THE BOREL CHARACTER ⋮ Algebraic cobordism and étale cohomology ⋮ The motivic Steenrod algebra in positive characteristic ⋮ The first stable homotopy groups of motivic spheres ⋮ Remarks on motivic Moore spectra ⋮ Algebraic slice spectral sequences ⋮ The slice spectral sequence for singular schemes and applications ⋮ Vladimir Voevodsky—An appreciation ⋮ Motivic spheres and the image of the Suslin-Hurewicz map ⋮ The motivic cofiber of \(\tau\) ⋮ The motivic Hopf map solves the homotopy limit problem for \(K\)-theory ⋮ On equivariant and motivic slices ⋮ The homotopy limit problem and the cellular Picard group of Hermitian \(K\)-theory ⋮ On very effective Hermitian \(K\)-theory ⋮ $kq$-resolutions I ⋮ Some comments on motivic nilpotence ⋮ Topological models for stable motivic invariants of regular number rings

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