Connectivity of motivic \(H\)-spaces

DOI10.2140/agt.2014.14.37zbMath1285.14024arXiv1209.0484OpenAlexW3098618854MaRDI QIDQ384638

Utsav Choudhury

Publication date: 28 November 2013

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

Full work available at URL: https://arxiv.org/abs/1209.0484

zbMATH Keywords

\(H\)-spaceshomotopy pullback\(\mathbb A^{1}\)-homotopy theory

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Motivic cohomology; motivic homotopy theory (14F42) Localization of categories, calculus of fractions (18E35)

Related Items (9)

\(\mathbb{A}^1\)-connected components of ruled surfaces ⋮ The Hurewicz map in motivic homotopy theory ⋮ 𝔸¹-connectedness in reductive algebraic groups ⋮ Strong A1${\mathbb {A}}^1$‐invariance of A1${\mathbb {A}}^1$‐connected components of reductive algebraic groups ⋮ \( \mathbb{A}^1\)-connected components and characterisation of \(\mathbb{A}^2\) ⋮ \(\mathbb{A}^1\)-connected components of classifying spaces and purity for torsors ⋮ \(\mathbb{A}^1\)-connected components of blowup of threefolds fibered over a surface ⋮ Correction to: ``Preorientations of the derived motivic multiplicative group ⋮ \(\mathbb A^1\)-connected components of schemes

Cites Work

• \(\mathbb A^1\)-algebraic topology over a field
• Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms
• Simplicial presheaves
• Motivic symmetric spectra
• Homotopy limits, completions and localizations
• Multiplication on Spheres (II)
• ¹-Homotopy of Chevalley Groups
• \(\mathbb{A}^1\)-homotopy theory of schemes
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