Quantum isolated horizons and black hole entropy
  We give a short introduction to the approaches currently used to describe black holes in loop quantum gravity. We will concentrate on the classical issues related to the modeling of black holes as isolated horizons, give a short discussion of their canonical quantization by using loop quantum gravity techniques, and a description of the combinatorial methods necessary to solve the counting problems involved in the computation of the entropy. 
J. Fernando Barbero G., Jerzy Lewandowski and Eduardo J. S.   Villase\~nor
gr-qc