Geometry of Constrained Dynamical Systems

Many of the fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems in particular the problems encountered in formulating them as quantum systems has many profound links with geometry. These links were explored in the Symposium on Geometry and Gravity held at the Newton Institute in 1994. This book arose from a conference held during that symposium and is a collection of papers devoted to problems such as ChernSimons theory sigma-models gauge invariance and loop quantization general relativity and the notion of time and quantum gravity. They present a lively varied and topical perspective on this important branch of theoretical physics from some of the leading authorities in the subject.