Algebraic vector bundles on spheres

DOI10.1112/jtopol/jtt046zbMath1326.14098arXiv1204.4538OpenAlexW3104271336MaRDI QIDQ2921102

Aravind Asok, Jean Fasel

Publication date: 30 September 2014

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4538

zbMATH Keywords

vector bundleshomotopyquadric hypersurfaceunimodular row

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Projective and free modules and ideals in commutative rings (13C10) Obstruction theory in algebraic topology (55S35) Motivic cohomology; motivic homotopy theory (14F42) Higher symbols, Milnor (K)-theory (19D45)

Related Items (23)

Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das) ⋮ Algebraic vs. topological vector bundles on spheres ⋮ An overview of motivic homotopy theory ⋮ The cancellation of projective modules of rank 2 with a trivial determinant ⋮ Localization and nilpotent spaces in -homotopy theory ⋮ On the third homology of 𝑆𝐿₂ and weak homotopy invariance ⋮ Endomorphisms of the projective plane and the image of the Suslin-Hurewicz map ⋮ Vector bundles on algebraic varieties ⋮ A Study of Suslin Matrices: Their Properties and Uses ⋮ Motivic stable cohomotopy and unimodular rows ⋮ VANISHING IN STABLE MOTIVIC HOMOTOPY SHEAVES ⋮ \(\mathbb{A}^1\)-connected components of classifying spaces and purity for torsors ⋮ Algebraic vector bundles on punctured affine spaces and smooth quadrics ⋮ OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES ⋮ The homotopy Leray spectral sequence ⋮ Generically split octonion algebras and \(\mathbb{A}^1\)-homotopy theory ⋮ The real cycle class map ⋮ Affine representability results in \(\mathbb A^1\)-homotopy theory. II: Principal bundles and homogeneous spaces ⋮ Motivic spheres and the image of the Suslin-Hurewicz map ⋮ The orbit set and the orthogonal quotient ⋮ Two lives: compositions of unimodular rows ⋮ Splitting vector bundles outside the stable range and 𝔸¹-homotopy sheaves of punctured affine spaces ⋮ The simplicial suspension sequence in \(\mathbb A^1\)-homotopy

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