3 citations · 5 across the 4 of their papers we have counts for
4 papers
Abelian Groups in omega-categories
Brett Milburn
We study abelian group objects in -categories and discuss the well-known Dold-Kan correspondence from the perspective of -categories as a model for strict -categories…
The Quotient of a Category by the Action of a Monoidal Category
Brett Milburn
We introduce the notion of the quotient of a category by the action of a unital symmetric monoidal category . The quotient is a 2-ca…
Two Categories of Dirac Manifolds
Brett Milburn
We define two categories of Dirac manifolds, i.e. manifolds with complex Dirac structures. The first notion of maps I call \emph{Dirac maps}, and the category of Dirac manifolds is…
Generalized Complex and Dirac Structures on Homogeneous Spaces
Brett Milburn
We partially describe equivariant Dirac and generalized complex structures on a homogeneous space by giving equivalent data involving only the Lie algebra. We consider real s…