Open Questions: Quantum Geometry

See also: Geometry and topology -- Mathematics and physics -- Quantum gravity -- Noncommutative geometry

A Brief Introduction to Quantum Geometry: Excellent series of tutorial pages by Michio Durdevich.
Quantum Geometry and Black Hole Entropy: A set of lecture slides by John Baez. Includes several links to research papers.
Quantum and Braided Spin Groups: Pages with farily technical discussion, by M. Rosenbaum.