The topological theory of defects in ordered media

ND Mermin - Reviews of Modern Physics, 1979 - APS
Reviews of Modern Physics, 1979APS
Aspects of the theory of homotopy groups are described in a mathematical style closer to
that of condensed matter physics than that of topology. The aim is to make more readily
accessible to physicists the recent applications of homotopy theory to the study of defects in
ordered media. Although many physical examples are woven into the development of the
subject, the focus is on mathematical pedagogy rather than on a systematic review of
applications.
Abstract
Aspects of the theory of homotopy groups are described in a mathematical style closer to that of condensed matter physics than that of topology. The aim is to make more readily accessible to physicists the recent applications of homotopy theory to the study of defects in ordered media. Although many physical examples are woven into the development of the subject, the focus is on mathematical pedagogy rather than on a systematic review of applications.
American Physical Society