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# ðŸ“™ Chern-Simons Theory, Matrix Models And Topological Strings by Marcos MariÃ±o â€” epub download

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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.

## About book:

## About file:

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- Series:
**International Series of Monographs on Physics** - Author:
**Marcos MariÃ±o** - Year:
**2005** - Publisher:
**Oxford University Press, USA** - Language:
**English** - ISBN:
**9780198568490,0198568495**

- File size:
**3 587 323** - Format:
**pdf**

Security code:

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 ...

Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of considerable physical significance. The new class of self-dual Chern-Simons theories discussed in detail in this book arise in the context of anyonic quantum...

Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of considerable physical significance. The new class of self-dual Chern-Simons theories discussed in detail in this book arise in the context of anyonic quantum...

We establish a uniqueness result for the topological multivortex solution to theself-dual equations of the Abelian relativistic self-dual Chern-Simons-Higgsmodel. We prove that the topological multivortex solution is unique if the Chern-Simons coupling pa...

This is a collection of papers on a variety of topics of current interest in mathematical physics: integrable systems, quantum groups, topological quantum theory, string theory. Some of the contributions are lengthy reviews of lasting value on subjects li...

This is a collection of papers on a variety of topics of current interest in mathematical physics: integrable systems, quantum groups, topological quantum theory, string theory. Some of the contributions are lengthy reviews of lasting value on subjects li...

Many fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, and in particular the problems of formulating them as quantum systems, has many ...

Many fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, and in particular the problems of formulating them as quantum systems, has many ...

Articles in this volume: 1-16 On Majorana Representations of A6 and A7 A. A. Ivanov 17-63 Stability and Instability of Extreme Reissner-NordstrÃ¶m Black Hole Spacetimes for Linear Scalar Perturbations I Stefanos Aretakis 65-100 Random Time-De...