@inproceedings{Ashtekar2003MathematicalSO,
title={Mathematical structure of loop quantum cosmology},
author={Abhay Ashtekar and Martin Bojowald and Jerzy Lewandowski},
year={2003}
}

Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big bang singularity. However, the precise mathematical structure underlying loop quantum cosmology and the sense in which it implements the full quantization program in a symmetry reduced model has not been made explicit. The purpose of this paper is to address these issues, thereby providing a firmerâ€¦Â CONTINUE READING