230 citations · 1.2k across the 72 of their papers we have counts for
4 papers · 2 filters
Quillen's Theorem A and the Whitehead theorem for bicategories
Niles Johnson, Donald Yau
We prove a bicategorical analogue of Quillen's Theorem A. As an application, we deduce the well-known result that a pseudofunctor is a biequivalence if and only if it is essentiall…
A bicategorical pasting theorem
Niles Johnson, Donald Yau
We provide an elementary proof of a bicategorical pasting theorem that does not rely on Power's 2-categorical pasting theorem, the bicategorical coherence theorem, or the local cha…
Modular operads and the nerve theorem
Philip Hackney, Marcy Robertson, Donald Yau
We describe a category of undirected graphs which comes equipped with a faithful functor into the category of (colored) modular operads. The associated singular functor from modula…
Infinity Operads and Monoidal Categories with Group Equivariance
Donald Yau
This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action operad. A group oper…