Chromatic homotopy is algebraic when p > n²+n+1

2018/10/29 by Pstrągowski, Piotr
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.12250

Abstract

We show that if E is a p-local Landweber exact homology theory of height n and p > n²+n+1, then there exists an equivalence h Sp_E ≃ hD(E_*E) between homotopy categories of E-local spectra and differential E_*E-comodules, generalizing Bousfield's and Franke's results to heights n > 1.

Related

• Chromatic Homotopy is Monoidally Algebraic at Large Primes
• Algebraicity in monochromatic homotopy theory
• Chromatic homotopy theory is asymptotically algebraic
• The K-theory cochains of H-spaces and height 1 chromatic homotopy theory
• Comodules and Landweber exact homology theories