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Chern-Simons Theory, Matrix Models, and Topological Strings (Paperback)
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Chern-Simons Theory, Matrix Models, and Topological Strings (Paperback)
Series: International Series of Monographs on Physics, 131
Expected to ship within 12 - 17 working days
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In recent years, the old idea that gauge theories and string
theories are equivalent has been implemented and developed in
various ways, and there are by now various models where the string
theory / gauge theory correspondence is at work. One of the most
important examples of this correspondence relates Chern-Simons
theory, a topological gauge theory in three dimensions which
describes knot and three-manifold invariants, to topological string
theory, which is deeply related to Gromov-Witten invariants. This
has led to some surprising relations between three-manifold
geometry and enumerative geometry. This book gives the first
coherent presentation of this and other related topics. After an
introduction to matrix models and Chern-Simons theory, the book
describes in detail the topological string theories that correspond
to these gauge theories and develops the mathematical implications
of this duality for the enumerative geometry of Calabi-Yau
manifolds and knot theory. It is written in a pedagogical style and
will be useful reading for graduate students and researchers in
both mathematics and physics willing to learn about these
developments.
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