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4 papers · 1 filter
Universal pseudomorphisms, with applications to diagrammatic coherence for braided and symmetric monoidal functors
Nick Gurski, Niles Johnson
This work introduces a general theory of universal pseudomorphisms and develops their connection to diagrammatic coherence. The main results give hypotheses under which pseudomorph…
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…
Operads of Wiring Diagrams
Donald Yau
This monograph is a comprehensive study of the combinatorial structure of various operads of wiring diagrams and undirected wiring diagrams. Our first main objective is to prove a…