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OverviewIn 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. Full Product DetailsAuthor: Marcos Marino (Full Professor, Full Professor, Department of Mathematics, University of Geneva)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 131 Dimensions: Width: 16.00cm , Height: 1.00cm , Length: 23.60cm Weight: 0.378kg ISBN: 9780198726333ISBN 10: 0198726333 Pages: 224 Publication Date: 21 May 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPart I: Matrix Models, Chern-Simons Theory, and the Large N Expansion 1: Matrix models 2: Chern-Simons theory and knot invariants Part II: Topological Strings 3: Topological sigma models 4: Topological strings 5: Calabi-Yau geometries Part III: The Topological String / Gauge Theory Correspondence 6: String theory and gauge theory 7: String field theory and gauge theories 8: Geometric transitions 9: The topological vertex 10: Applications of the topological string / gauge theory correspondence A: Symmetric polynomialsReviews... 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 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 * ... very carefully written ... will inspire a wide range of physicists and mathematicians for a long period of time. * Albrecht Klemm, University of Wisconsin * Author InformationMarcos Marino, Full Professor, Department of Mathematics, University of Geneva Tab Content 6Author Website:Countries AvailableAll regions |
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