3 papers
math-ph2005
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…
math-ph2004
Constant connections, quantum holonomies and the Goldman bracket
J. E. Nelson, R. F. Picken
In the context of (2+1)--dimensional quantum gravity with negative cosmological constant and topology R x T^2, constant matrix--valued connections generate a q--deformed representa…
gr-qc2004
Some Applications of the ADM Formalism
J. E. Nelson
The ADM Formalism is discussed in the context of 2+1--dimensional gravity, uniting two areas of relativity theory in which Stanley Deser has been particularly active. For spacetime…