The motivic Adams spectral sequence
| Autor: | Daniel Dugger, Daniel C. Isaksen |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Algebraic topology
Mathematics::Algebraic Topology 01 natural sciences Mathematics - Algebraic Geometry Mathematics::K-Theory and Homology 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology motivic homotopy theory 0101 mathematics Algebraic Geometry (math.AG) 55T15 May spectral sequence Mathematics 14F42 Steenrod algebra Homotopy 010102 general mathematics Cohomology Motivic cohomology Algebra Adams spectral sequence Spectral sequence 010307 mathematical physics Geometry and Topology |
| Zdroj: | Geom. Topol. 14, no. 2 (2010), 967-1014 |
| ISSN: | 1364-0380 1465-3060 |
| Popis: | We present some data on the cohomology of the motivic Steenrod algebra over an algebraically closed field. We discuss several features of the associated Adams spectral sequence, including the basic construction and convergence properties. The paper also deals with motivic versions of the May and Adams-Novikov spectral sequences. It is shown how these tools can be used to give new proofs of some classical results in algebraic topology. Also, the considerations reveal the existence of certain "exotic" motivic homotopy classes which have no classical analogues. |
| Databáze: | OpenAIRE |
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