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Chern-Simons Theory, Matrix Models, and Topological Strings - International Series of Monographs on Physics 131 (Paperback)
  • Chern-Simons Theory, Matrix Models, and Topological Strings - International Series of Monographs on Physics 131 (Paperback)
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Chern-Simons Theory, Matrix Models, and Topological Strings - International Series of Monographs on Physics 131 (Paperback)

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£48.49
Paperback 224 Pages / Published: 21/05/2015
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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.

Publisher: Oxford University Press
ISBN: 9780198726333
Number of pages: 224
Weight: 378 g
Dimensions: 236 x 160 x 10 mm


MEDIA REVIEWS
... very carefully written ... will inspire a wide range of physicists and mathematicians for a long period of time. * Albrecht Klemm, University of Wisconsin *
The book gives a good overview of the developments in the field, in which its author has himself played an important role. The book shows nicely how the different ideas are related, and how they can be combined to allow one to do very explicit calculations. * Marcel L. Vonk, Mathematical Reviews *

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