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Chern-Simons Theory, Matrix Models, and Topological Strings by Marcos Marino (Full Professor, Full Professor, Department of Mathematics, University of Geneva) at Abbey's Bookshop,
Chern-Simons Theory, Matrix Models, and Topological Strings
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Marcos Marino (Full Professor, Full Professor, Department of Mathematics, University of Geneva)

Chern-Simons Theory, Matrix Models, and Topological Strings

Marcos Marino (Full Professor, Full Professor, Department of Mathematics, University of Geneva)

$342

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English
Oxford University Press
06 October 2005
Algebraic geometry; Topology; Particle & high-energy physics; Relativity physics
Series: International Series of Monographs on Physics
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.
By:  
Imprint:   Oxford University Press
Country of Publication:   United Kingdom
Volume:   131
Dimensions:   Height: 242mm,  Width: 162mm,  Spine: 17mm
Weight:   462g
ISBN:   9780198568490
ISBN 10:   0198568495
Series:   International Series of Monographs on Physics
Pages:   212
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Part 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 Polynomials

Marcos Marino, Department of Theoretical Physics, CERN, Geneva, Switzerland and Department of Mathematics, Instituto Superior Técnico, Lisboa, Portugal

Reviews for Chern-Simons Theory, Matrix Models, and Topological Strings

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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