The cohomology of the motivic Steenrod algebra over Spec C
Daniel C. Isaksen
TL;DR
This paper computes the cohomology of the motivic Steenrod algebra over the complex spectrum using spectral sequences, providing new insights into motivic homotopy theory at prime 2.
Contribution
It introduces a detailed computation of the motivic Steenrod algebra's cohomology over Spec C via the motivic May spectral sequence, advancing understanding in motivic homotopy theory.
Findings
Cohomology computed through the geometric 70-stem.
Application of the motivic May spectral sequence for calculations.
Results specific to prime p=2 over Spec C.
Abstract
The purpose of this article is to compute the cohomology of the motivic Steenrod algebra over Spec C through the geometric 70-stem. The main computational tool is the motivic May spectral sequence. Everywhere in this article, we are working only over Spec C, and we are always computing at the prime p = 2.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Differential Geometry Research · Mathematics and Applications