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arXiv · 1810.12250

Chromatic homotopy is algebraic when $p > n^{2}+n+1$

Piotr Pstrągowski
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Abstract

We show that if $E$ is a $p$-local Landweber exact homology theory of height $n$ and $p > n^2+n+1$, then there exists an equivalence $h \mathcal{S}p_{E} \simeq h\mathcal{D}(E_{*}E)$ between homotopy categories of $E$-local spectra and differential $E_{*}E$-comodules, generalizing Bousfield's and Franke's results to heights $n > 1$.

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BibTeXRIS

Piotr Pstrągowski. 2018-10-29. Chromatic homotopy is algebraic when $p > n^{2}+n+1$. https://arxiv.org/abs/1810.12250

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