Brown-Peterson spectra in stable \(\mathbb{A}^1\)-homotopy theory

zbMath1165.14308arXivmath/0004050MaRDI QIDQ2569665

Gabriele Vezzosi

Publication date: 20 October 2005

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004050

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items

Motivic Brown-Peterson invariants of the rationals ⋮ The Adams-Novikov spectral sequence and Voevodsky's slice tower ⋮ Cellular objects in isotropic motivic categories ⋮ Riemann-Roch for homotopy invariant \(K\)-theory and Gysin morphisms ⋮ Thick Ideals in Equivariant and Motivic Stable Homotopy Categories ⋮ A motivic Grothendieck-Teichmüller group ⋮ The motivic Adams spectral sequence ⋮ Examples of non-algebraic classes in the Brown-Peterson tower ⋮ Examples for the mod 𝑝 motivic cohomology of classifying spaces ⋮ Bivariant theories in motivic stable homotopy ⋮ On the relation of Voevodsky's algebraic cobordism to Quillen's \(K\)-theory ⋮ On the algebraic cobordism spectra 𝐌𝐒𝐋 and 𝐌𝐒𝐩

Cites Work

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• \(\mathbb{A}^1\)-homotopy theory
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• The Ω-Spectrum for Brown-Peterson Cohomology Part II
• Torsion algebraic cycles and complex cobordism
• On Thom Spectra, Orientability, and Cobordism
• On the formal group laws of unoriented and complex cobordism theory