Quantum Reduced Loop Gravity and the foundation of Loop Quantum   Cosmology
  Quantum Reduced Loop Gravity is a promising framework for linking Loop Quantum Gravity and the effective semiclassical dynamics of Loop Quantum Cosmology. We review its basic achievements and its main perspectives, outlining how it provides a quantum description of the Universe in terms of a cuboidal graph which constitutes the proper framework for applying loop techniques in a cosmological setting. 
Emanuele Alesci, Francesco Cianfrani
gr-qc