3 papers
math.AT2026
Cyclotomic extensions in stable homotopy theory
Douglas C. Ravenel
This expository paper is a companion to \cite{Rav:gjmcyc}, in which we discuss cyclotomic spectra. Both papers are intended to shed light on the recent resolution of the telescope…
math.AT2026
What are cyclotomic spectra and why do we need them?
Douglas C. Ravenel
This paper is an expository account of cyclotomic spectra. They are spectra (in the sense of homotopy theory) with additional structure that includes an action of the circle group,…
math.AT2025
The connective Morava K-theory of the second mod p Eilenberg-MacLane space
Donald M. Davis, Douglas C. Ravenel, W. Stephen Wilson
We develop tools for computing the connective n-th Morava K-theory of spaces. Starting with a Universal Coefficient Theorem that computes the cohomology version from the homology v…