A comparison of twisted coefficient systems
Abstract
In the first part of this note, we review and compare various instances of the notion of twisted coefficient system, a.k.a. polynomial functor, appearing in the literature. This notion hinges on how one defines the degree of a functor from C to an abelian category, for various different structures on C. In the second part, we focus on twisted coefficient systems defined on partial braid categories, and explain a functorial framework for this setting.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.