1. Matrix models -- 2. Chern-Simons theory and knot invariants -- 3. Topological sigma models -- 4. Topological strings -- 5. Calabi-Yau geometries -- 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
Summary
After an introduction to matrix models and Cherns-Simons gauge theory, this book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implication of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory
Bibliography
Includes bibliographical references (pages 187-196) and index