32 citations · 73 across the 10 of their papers we have counts for
11 papers
Higher homotopy invariants for spaces and maps
David Blanc, Mark W. Johnson, James M. Turner
For a pointed topological space , we use an inductive construction of a simplicial resolution of by wedges of spheres to construct a "higher homotopy structure" for (in…
A constructive approach to higher homotopy operations
David Blanc, Mark W. Johnson, James M. Turner
In this paper we provide an explicit general construction of higher homotopy operations in model categories, which include classical examples such as (long) Toda brackets and (iter…
Complex orientations for THH of some perfectoid fields
Jack Morava
This sketch argues that work of Hesselholt on the topological Hochschild homology of $\Cp$ extends, using work of Scholze and others, to define complex orientations for a version o…
Higher homotopy operations and André-Quillen cohomology
David Blanc, Mark W. Johnson, James M. Turner
There are two main approaches to the problem of realizing a -algebra (a graded group equipped with an action of the primary homotopy operations) as the homotopy groups of a…
On modified Reedy and modified projective model structures
Mark W. Johnson
Variations on the notions of Reedy model structures and projective model structures on categories of diagrams in a model category are introduced. These allow one to choose only a s…
On homotopy invariance for algebras over colored PROPs
Mark W. Johnson, Donald Yau
Over a monoidal model category, under some mild assumptions, we equip the categories of colored PROPs and their algebras with projective model category structures. A Boardman-Vogt…