2010/05/23 by Frédéric Déglise, Déglise, Frédéric
Mathematics · #14F42 #19D45 #19E15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:14F42 #msc:19D45 #msc:19E15
paper · pdf · doi:10.48550/arxiv.1005.4187
27 pp
arxiv created 2010/05/23 · openalex publication_date 2010/05/23 · arxiv updated 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We prove a conjecture of Morel identifying Voevodsky's homotopy invariant sheaves with transfers with spectra in the stable homotopy category which are concentrated in degree zero for the homotopy t-structure and have a trivial action of the Hopf map. This is done by relating these two kind of objects to Rost's cycle modules. Applications to algebraic cobordism and construction of cycle classes are given.