The v₁-Periodic Region of the Complex-Motivic Ext

2019/12/06 by Li, Ang
#55S30 55S10 (55T15 14F42) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.03111

Abstract

We establish a v₁-periodicity theorem in Ext over the complex-motivic Steenrod algebra. The element h₁ of Ext, which detects the homotopy class η in the motivic Adams spectral sequence, is non-nilpotent and therefore generates h₁-towers. Our result is that, apart from these h₁-towers, v₁-periodicity behaves as it does classically.

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