New w1-periodic families in C-motivic stable homotopy and in the cohomology of the moduli stack of formal group laws have eta-exponents governed by 2-adic valuations.
The $\mathbb{C}$-motivic Adams Spectral Sequence for $s\leq5$
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We determine the $\tau^n$-torsion in the first 5-lines of the $E_2$ page of the $\mathbb{C}$-motivic Adams spectral sequence using the techniques of Burklund-Xu. In particular, every element in this range is either $\tau^1$-torsion or $\tau$-free. We also show that $\tau^n$-torsion elements can appear only in Adams filtration at least $2n+2$ and give further evidence of a possible $3n$ bound.
fields
math.AT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Exotic periodic phenomena in the cohomology of the moduli stack of $1$-dimensional formal group laws
New w1-periodic families in C-motivic stable homotopy and in the cohomology of the moduli stack of formal group laws have eta-exponents governed by 2-adic valuations.