The Role of Topology in Classical and Quantum Physics

In solid-state physics especially topological techniques
have turned out to be extremely useful for modelling and
explaining physical properties of matter. This book
illustrates various applications of algebraic topology in
classical field theory (non-linear sigma-models) and in
quantizationsin multiply connected spaces (anyons). It
treats Chern-Simon Lagrangians, Berry's phase, the
polarization of light and the fractional quantum Hall
effect.