On the relation of symplectic algebraic cobordism to Hermitian \(K\)-theory

DOI10.1134/S0081543819060099zbMath1442.19012arXiv1011.0652MaRDI QIDQ2185507

Charles Walter, I. A. Panin

Publication date: 4 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0652

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Motivic cohomology; motivic homotopy theory (14F42) Hermitian (K)-theory, relations with (K)-theory of rings (19G38)

Related Items

Relationship between algebraic \(MSL\)-cobordisms and derived Witt groups ⋮ On the motivic commutative ring spectrum $\mathbf {BO}$ ⋮ Quaternionic Grassmannians and Borel classes in algebraic geometry ⋮ On the algebraic cobordism spectra 𝐌𝐒𝐋 and 𝐌𝐒𝐩

Cites Work

• Hermitian \(K\)-theory, derived equivalences and Karoubi's fundamental theorem
• On the relation of Voevodsky's algebraic cobordism to Quillen's \(K\)-theory
• Oriented cohomology theories of algebraic varieties. II.
• \(\mathbb{A}^1\)-homotopy theory
• Gysin maps in Balmer-Witt theory
• The relation of cobordism to K-theories
• The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes
• Hermitian K-theory of exact categories
• Algebraic homotopy classes of rational functions
• Quaternionic Grassmannians and Borel classes in algebraic geometry
• On the motivic commutative ring spectrum $\mathbf {BO}$

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