A universality theorem for Voevodsky's algebraic cobordism spectrum

DOI10.4310/HHA.2008.v10.n2.a11zbMath1162.14013arXiv0709.4116MaRDI QIDQ954808

Oliver Röndigs, Konstantin Pimenov, I. A. Panin

Publication date: 18 November 2008

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4116

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43)

Related Items

An overview of motivic homotopy theory ⋮ Comparison of cobordism theories ⋮ Preorientations of the derived motivic multiplicative group ⋮ On Grothendieck's Riemann-Roch theorem ⋮ The Adams-Novikov spectral sequence and Voevodsky's slice tower ⋮ Fibrant resolutions for motivic Thom spectra ⋮ Slices of motivic Landweber spectra ⋮ Localizations and completions of stable \(\infty\)-categories ⋮ Motivic Pontryagin classes and hyperbolic orientations ⋮ Riemann-Roch for homotopy invariant \(K\)-theory and Gysin morphisms ⋮ The Riemann-Roch theorem without denominators in motivic homotopy theory ⋮ Thick Ideals in Equivariant and Motivic Stable Homotopy Categories ⋮ On the Riemann-Roch formula without projective hypotheses ⋮ Algebraic elliptic cohomology and flops. II: SL-cobordism ⋮ Thom isomorphisms in triangulated motivic categories ⋮ The slice spectral sequence for singular schemes and applications ⋮ The motivic Adams spectral sequence ⋮ Vladimir Voevodsky—An appreciation ⋮ The motivic Hopf map solves the homotopy limit problem for \(K\)-theory ⋮ On the relation of Voevodsky's algebraic cobordism to Quillen's \(K\)-theory ⋮ Hermitian K-theory via oriented Gorenstein algebras ⋮ On the algebraic cobordism spectra 𝐌𝐒𝐋 and 𝐌𝐒𝐩