Constant connections, quantum holonomies and the Goldman bracket
  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 representation of the fundamental group, and signed area phases relate the quantum matrices assigned to homotopic loops. Some features of the resulting quantum geometry are explored, and as a consequence a quantum version of the Goldman bracket is obtained 
J.E.Nelson (1) and R.F.Picken (2) ((1) University of Turin and INFN   Sezione di Torino, Italy (2) Instituto Superior Tecnic...