In recent years topology has firmly established itself as an
important part of the physicist's mathematical arsenal. It has many
applications, first of all in quantum field theory, but
increasingly also in other areas of physics. The main focus of this
book is on the results of quantum field theory that are obtained by
topological methods. Some aspects of the theory of condensed matter
are also discussed. Part I is an introduction to quantum field
theory: it discusses the basic Lagrangians used in the theory of
elementary particles. Part II is devoted to the applications of
topology to quantum field theory. Part III covers the necessary
mathematical background in summary form. The book is aimed at
physicists interested in applications of topology to physics and at
mathematicians wishing to familiarize themselves with quantum field
theory and the mathematical methods used in this field. It is
accessible to graduate students in physics and mathematics.
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