**Lectures on Tensor Categories and Modular Functors**

by Bojko Bakalov, Alexander Kirillov

**Publisher**: American Mathematical Society 2000**ISBN/ASIN**: 0821826867**ISBN-13**: 9780821826867**Number of pages**: 221

**Description**:

This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory). It would be suitable as a course text at the advanced-graduate level.

Download or read it online for free here:

**Download link**

(multiple PS files)

## Similar books

**An Introduction to Quantum Field Theory**

by

**Mrinal Dasgupta**-

**University of Manchester**

Presently, all observational evidence points to the fact that Quantum Field Theory provides a good description of all known elementary particles. The scope of these lectures is to provide an introduction to the formalism of Quantum Field Theory.

(

**5713**views)

**The Monte Carlo Method in Quantum Field Theory**

by

**Colin Morningstar**-

**arXiv**

This series of six lectures is an introduction to using the Monte Carlo method to carry out nonperturbative studies in quantum field theories. Path integrals in quantum field theory are reviewed, and their evaluation is presented.

(

**4599**views)

**Quantum Field Theory on Noncommutative Spaces**

by

**Richard J. Szabo**-

**arXiv**

An introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, etc.

(

**7995**views)

**Introductory Lectures on Quantum Field Theory**

by

**Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo**-

**arXiv**

In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String Theory.

(

**4481**views)