Quantum geometry II: the mathematics of loop quantum gravity—three-dimensional quantum gravity

Loop quantum gravity is a physical theory that aims at unifying general relativity and mechanics. It takes very seriously modifies it via quantisation. General describes in terms of geometry; therefore, quantising such must be equivalent to geometry what loop does. This sounds like mathematical task as well, thus, this paper we will present the mathematics gravity. We do from mathematician’s point view. intended an introduction for postgraduate students physics mathematics. In work restrict ourselves three-dimensional case.