Elementary Quantum Geometry
arXiv:2204.00859
Abstract
These Lecture Notes provide an elementary introduction to the quantization of two-dimensional quantum gravity. Nothing beyond undergratuate physics and mathematic is required. Explicit formulas for the partition functions for universes with n boundaries are derived, as well as for the so-called two-point function. The latter shows explicitly that the fractal dimension of a typical two-dimensional quantum universe is four.
287 pages and many figures