Motivic strict ring models for 𝐾-theory

DOI10.1090/S0002-9939-10-10394-3zbMath1209.14018arXiv0907.4121OpenAlexW2591754259MaRDI QIDQ3053498

Markus Spitzweck, Oliver Röndigs, Paul Arne Østvær

Publication date: 29 October 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4121

zbMATH Keywords

\(K\)-theorymotivic symmetric spectrastable motivic homotopy categorynoetherian base scheme

Mathematics Subject Classification ID

Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) (K)-theory of schemes (19E08) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (10)

Noncommutative mixed (Artin) motives and their motivic Hopf dg algebras ⋮ Connective AlgebraicK-theory ⋮ Arakelov motivic cohomology I ⋮ Preorientations of the derived motivic multiplicative group ⋮ The Gysin triangle via localization and 𝐴¹-homotopy invariance ⋮ Voevodsky's mixed motives versus Kontsevich's noncommutative mixed motives ⋮ Motivic twisted \(K\)-theory ⋮ Existence and uniqueness of \(E_\infty\) structures on motivic \(K\)-theory spectra ⋮ Motivic connectiveK-theories and the cohomology of A(1) ⋮ A multiplicative \(K\)-theoretic model of Voevodsky's motivic \(K\)-theory spectrum

Cites Work

• On the motivic spectra representing algebraic cobordism and algebraic \(K\)-theory
• Motivic Landweber exactness
• Modules over motivic cohomology
• \(\mathbb{A}^1\)-homotopy theory
• Motivic functors
• Motivic symmetric spectra
• Motives and modules over motivic cohomology
• A Bott inverted model for equivariant unitary topological $K$-theory
• The Bott inverted infinite projective space is homotopy algebraic K -theory
• Chern classes, K-theory and Landweber exactness over nonregular base schemes
• On Voevodsky's Algebraic K-Theory Spectrum
• \(\mathbb{A}^1\)-homotopy theory of schemes

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