Transchromatic phenomena in the equivariant slice spectral sequence
Abstract
In this paper, we prove a transchromatic phenomenon for Hill--Hopkins--Ravenel and Lubin--Tate theories. This establishes a direct relationship between the equivariant slice spectral sequences of height-h and height-(h/2) theories. As applications of this transchromatic phenomenon, we prove periodicity and vanishing line results for these theories.
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