Enumerative geometry and string theory

IAS/Park City Mathematics Institute

Preface

Acknowledgements

ch. 1. Warming up to enumerative geometry

Exercises

ch. 2. Enumerative geometry in the projective plane

Exercises

ch. 3. Stable maps and enumerative geometry

Exercises

ch. 4. Crash course in topology and manifolds

Exercises

ch. 5. Crash course in C[infinity] manifolds and cohomology

Exercises

ch. 6. Cellular decompositions and line bundles

Exercises

ch. 7. Enumerative geometry of lines

Exercises

ch. 8. Excess intersection

Exercises

ch. 9. Rational curves on the quintic threefold

Exercises

ch. 10. Mechanics

Exercises

ch. 11. Introduction to supersymmetry

Exercises

ch. 12. Introduction to string theory

Exercises

ch. 13. Topological quantum field theory

Exercises

ch. 14. Quantum cohomology and enumerative geometry

Exercises

Bibliography

Index.