Topology is the study of properties of geometrical objects that
remain invariant as the object is bent, twisted, or otherwise
continuously deformed. It has been an indispensable tool in
particle physics and solid state physics for decades, but in recent
years it has become increasingly relevant in classical and quantum
optics as well. It makes appearances through such diverse phenomena
as Pancharatnam-Berry phases, optical vortices and solitons, and
optical simulations of solid-state topological phenomena. This book
concisely provides the necessary mathematical background needed to
understand these developments and to give a rapid survey of some of
the optical applications where topological issues arise.
General
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