## Geometry & Topology

### The motivic Adams spectral sequence

#### Abstract

We present some data on the cohomology of the motivic Steenrod algebra over an algebraically closed field of characteristic $0$. Our results are based on computer calculations and a motivic version of the May spectral sequence. We discuss features of the associated Adams spectral sequence and use these tools to give new proofs of some results in classical algebraic topology. We also consider a motivic Adams–Novikov spectral sequence. The investigations reveal the existence of some stable motivic homotopy classes that have no classical analogue.

#### Article information

Source
Geom. Topol., Volume 14, Number 2 (2010), 967-1014.

Dates
Accepted: 4 December 2009
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513732210

Digital Object Identifier
doi:10.2140/gt.2010.14.967

Mathematical Reviews number (MathSciNet)
MR2629898

Zentralblatt MATH identifier
1206.14041

#### Citation

Dugger, Daniel; Isaksen, Daniel C. The motivic Adams spectral sequence. Geom. Topol. 14 (2010), no. 2, 967--1014. doi:10.2140/gt.2010.14.967. https://projecteuclid.org/euclid.gt/1513732210

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