Download or read book The Role of Topology in Classical and Quantum Physics written by Giuseppe Morandi and published by Springer Science & Business Media. This book was released on 2008-09-11 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.