54 citations · 54 across the 2 of their papers we have counts for
5 papers
Bar-Natan's Khovanov homology for coloured links
Marco Mackaay, Paul Turner
Using Bar-Natan's Khovanov homology we define a homology theory for coloured, oriented, framed links. We then compute this explicitly.
Categorical representations of categorical groups
John W. Barrett, Marco Mackaay
The representation theory for categorical groups is constructed. Each categorical group determines a monoidal bicategory of representations. Typically, these categories contain rep…
A note on the holonomy of connections in twisted bundles
Marco Mackaay
Recently twisted K-theory has received much attention due to its applications in string theory and the announced result by Freed, Hopkins and Telemann relating the twisted equivari…
2-Categories, 4d state-sum models and gerbes
Marco Mackaay, Roger Picken
In this paper we give a short introduction to our results on the holonomy of gerbe-connections and explain our motivation coming from state-sum models.
Finite groups, spherical 2-categories, and 4-manifold invariants
Marco Mackaay
In this paper we define a class of state-sum invariants of compact closed oriented piece-wise linear 4-manifolds using finite groups. The definition of these state-sums follows fro…