46 citations · 197 across the 31 of their papers we have counts for
5 papers · 1 filter
Diagrams encoding group actions on -spaces
Julia E. Bergner, Philip Hackney
We introduce, for any group , a category such that diagrams satisfying a Segal condition correspond to infinite loop spaces with a -actio…
The homotopy theory of simplicial props
Philip Hackney, Marcy Robertson
The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. In this paper, the second in a series on "higher…
Reedy categories which encode the notion of category actions
Julia E. Bergner, Philip Hackney
We study a certain type of action of categories on categories and on operads. Using the structure of the categories Δ and Ω governing category and operad structures, respectively,…
Group actions on Segal operads
Julia E. Bergner, Philip Hackney
We give a Quillen equivalence between model structures for simplicial operads, described via the theory of operads, and Segal operads, thought of as certain reduced dendroidal spac…
On the category of props
Philip Hackney, Marcy Robertson
The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. The titular category has nice formal properties:…