Cover 1
Chapter 1. Warming up to enumerative geometry 2
Chapter 2. Enumerative geometry in the projective plane 14
Chapter 3. Stable maps and enumerative geometry 28
Chapter 4. Crash course in topology and manifolds 44
Chapter 5. Crash course in 𝐶^{∞} manifolds and cohomology 58
Chapter 6. Cellular decompositions and line bundles 78
Chapter 7. Enumerative geometry of lines 96
Chapter 8. Excess intersection 112
Chapter 9. Rational curves on the quintic threefold 126
Chapter 10. Mechanics 136
Chapter 11. Introduction to supersymmetry 146
Chapter 12. Introduction to string theory 158
Chapter 13. Topological quantum field theory 174
Chapter 14. Quantum cohomology and enumerative geometry 186
Back Cover 226