41 citations · 125 across the 9 of their papers we have counts for
9 papers
2-Group Actions and Moduli Spaces of Higher Gauge Theory
Jeffrey C. Morton, Roger Picken
A framework for higher gauge theory based on a 2-group is presented, by constructing a groupoid of connections on a manifold acted on by a 2-group of gauge transformations, followi…
Transformation Double Categories Associated to 2-Group Actions
Jeffrey C. Morton, Roger Picken
Transformation groupoids associated to group actions capture the interplay between global and local symmetries of structures described in set-theoretic terms. This paper examines t…
The Categorified Heisenberg Algebra I: A Combinatorial Representation
Jeffrey C. Morton, Jamie Vicary
We give an introductory account of Khovanov's categorification of the Heisenberg algebra, and construct a combinatorial model for it in a 2-category of spans of groupoids. We also…
Cohomological Twisting of 2-Linearization and Extended TQFT
Jeffrey C. Morton
In this paper, we describe a relation between a categorical quantization construction, called "2-linearization", and extended topological quantum field theory (ETQFT). We then desc…
Cubical n-Categories and Finite Limits Theories
Jeffrey C. Morton
This note informally describes a way to build certain cubical n-categories by iterating a process of taking models of certain finite limits theories. We base this discussion on a c…
2-Vector Spaces and Groupoids
Jeffrey C. Morton
This paper describes a relationship between essentially finite groupoids and 2-vector spaces. In particular, we show to construct 2-vector spaces of Vect-valued presheaves on such…