This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.

First book on topology in condensed matter on the market Includes supplementary material: sn.pub/extras

Autorentext

Michael Monastyrsky, professor of mathematics and theoretical physics at the Institute of Theoretical and Experimental Physics in Moscow/Russia, graduated the mathematical department of Moscow State University(1967). He authored numerous papers in various fields of mathematics and theoretical physics. He presented invited plenary talks on many conferences and was the visiting professor of many universities and institutes including IAS (Princeton), Harvard,Princeton and Yale Universities (USA),Cambridge and Oxford Universities (Great Britain), IHES and Universite de Paris (France).

Inhalt
Topology in the Electron Theory of Metals.- Topology, Quasiperiodic Functions, and the Transport Phenomena.- The Role of Topology in Growth and Agglomeration.- Topological Defects in Carbon Nanocrystals.- Physics from Topology and Structures.- Phason Dynamics in Aperiodic Crystals.- Hamiltonian Monodromy as Lattice Defect.- Two-Qubit and Three-Qubit Geometry and Hopf Fibrations.- Defects, Surface Anchoring, and Three-Dimensional Director Fields in the Lamellar Structure of Cholesteric Liquid Crystals as Studied by Fluorescence Confocal Polarizing Microscopy.