45 citations · 200 across the 24 of their papers we have counts for
27 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…
Quantum Holonomies and the Heisenberg Group
J. E. Nelson, R. F. Picken
Quantum holonomies of closed paths on the torus are interpreted as elements of the Heisenberg group . Group composition in corresponds to path concatenation and th…
Some properties of Bowlin and Brin's color graphs
Rui Pedro Carpentier, Roger Picken
Bowlin and Brin defined the class of color graphs, whose vertices are triangulated polygons compatible with a fixed four-coloring of the polygon vertices. In this article it is pro…
Invariants and TQFT's for cut cellular surfaces from finite 2-groups
Diogo Bragança, Roger Picken
In this brief sequel to a previous article, we recall the notion of a cut cellular surface (CCS), being a surface with boundary, which is cut in a specified way to be represented i…
Link invariants from finite categorical groups
Joao Faria Martins, Roger Picken
We define an invariant of tangles and framed tangles given a finite crossed module and a pair of functions, called a Reidemeister pair, satisfying natural properties. We give sever…
Invariants and TQFT's for cut cellular surfaces from finite groups
Diogo Bragança, Roger Picken
We introduce the notion of a cut cellular surface (CCS), being a surface with boundary, which is cut in a specified way to be represented in the plane, and is composed of 0-, 1- an…