61 citations · 81 across the 9 of their papers we have counts for
9 papers
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…
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,…
The homological slice spectral sequence in motivic and Real bordism
Christian Carrick, Michael A. Hill, Douglas C. Ravenel
For a motivic spectrum , let denote the global sections spectrum, where is viewed as a sheaf of spectra on . Voevodsky's slice filtr…
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…
The Method of Infinite Descent in Stable Homotopy Theory II
Hirofumi Nakai, Douglas C. Ravenel
This paper is a continuation of the version I of the same title, which intends to clarify and expand the results in the last chapter of `the green book' by the second author. In pa…
The cohomology of -equivariant and the homotopy of
Bertrand J. Guillou, Michael A. Hill, Daniel C. Isaksen +1
We compute the cohomology of the subalgebra of the -equivariant Steenrod algebra . This serves as the input to the -equivariant Adams spectral seque…
The Slice Spectral Sequence for certain -graded Suspensions of
Michael A. Hill, Michael J. Hopkins, Douglas C. Ravenel
We study the slice filtration and associated spectral sequence for a family of -graded suspensions of the Eilenberg-MacLane spectrum for the constant Mackey functor…
The slice spectral sequence for the analog of real -theory
Michael A. Hill, Michael J. Hopkins, Douglas C. Ravenel
We describe the slice spectral sequence of a 32-periodic -spectrum related to the norm of the real cobordism spectrum $MU_{…
On the non-existence of elements of Kervaire invariant one
Michael A. Hill, Michael J. Hopkins, Douglas C. Ravenel
We show that Kervaire invariant one elements in the homotopy groups of spheres exist only in dimensions at most 126. By Browder's Theorem, this means that smooth framed manifolds o…