In three spacetime dimensions, general relativity drastically simplifies, becoming a
“topological” theory with no propagating local degrees of freedom. Nevertheless, many of …

This timely volume provides a broad survey of (2+ 1)-dimensional quantum gravity. It
emphasises the'quantum cosmology'of closed universes and the quantum mechanics of the …

review of the TN theory and its cousins | Progress of Theoretical and Experimental Physics |
Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search …

There are many ways to extend the ideas of classical differential geometry to a
noncommutative world. Our view is that there is no clear answer as to which of these is …

In the paper [Dr3] V. Drinfeld formulated a number of problems in quantum group theory. In
particular, he raised the question about the existence of a quantization for Lie bialgebras …

In loop quantum gravity we now have a clear picture of the quantum geometry of space,
thanks in part to the theory of spin networks. The concept ofspin foam'is intended to serve as …

We consider the space of graph connections (lattice gauge fields) which can be endowed
with a Poisson structure in terms of a ciliated fat graph.(A ciliated fat graph is a graph with a …

The Teichmüller space of punctured surfaces with the Weil–Petersson symplectic structure
and the action of the mapping class group is realized as the Hamiltonian reduction of a finite …

In loop quantum gravity we now have a clear picture of the quantum geometry of space,
thanks in part to the theory of spin networks. The concept of 'spin foam'is intended to serve …

The geometry of D-branes can be probed by open string scattering. If the background carries
a non-vanishing B-field, the world-volume becomes non-commutative. Here we explore the …