4 citations · 4 across the 3 of their papers we have counts for
6 papers
Classical and quantum geometry of moduli spaces in three-dimensional gravity
J. E. Nelson, R. F. Picken
We describe some results concerning the phase space of 3-dimensional Einstein gravity when space is a torus and with negative cosmological constant. The approach uses the holonomy…
A cohomological description of Abelian bundles and gerbes
Roger Picken
We describe the geometrical ladder of equations for Abelian bundles and gerbes, as well as higher generalisations, in terms of the cohomology of an operator that combines de Rham a…
A classical approach to TQFT's
R. F. Picken, P. A. Semiao
We present a general framework for TQFT and related constructions using the language of monoidal categories. We construct a topological category C and an algebraic category D, both…
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.
TQFT - a new direction in algebraic topology
R. F. Picken, P. A. Semiao
We give an introduction for the non-expert to TQFT (Topological Quantum Field Theory), focussing especially on its role in algebraic topology. We compare the Atiyah axioms for TQFT…
Quantum Matrix Pairs
J. E. Nelson, R. F. Picken
The notion of quantum matrix pairs is defined. These are pairs of matrices with non-commuting entries, which have the same pattern of internal relations, q-commute with each other…