#### Volume 14, issue 2 (2010)

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### Daniel Dugger and Daniel C Isaksen

Geometry & Topology 14 (2010) 967–1014
##### 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.

##### Keywords
motivic homotopy theory, Adams spectral sequence, May spectral sequence
##### Mathematical Subject Classification 2000
Primary: 55T15, 14F42
##### Publication
Accepted: 4 December 2009
Published: 31 March 2010
Proposed: Haynes Miller