Contents IAS/Park City Mathematics Institute vii Preface ix Acknowledgements xii Chapter 1. Warming up to Enumerative Geometry 1 Exercises 10 Chapter 2. Enumerative Geometry in the Projective Plane 13 Exercises 25 Chapter 3. Stable Maps and Enumerative Geometry 27 Exercises 41 Chapter 4. Crash Course in Topology and Manifolds 43 Exercises 55 Chapter 5. Crash Course in C∞ Manifolds and Cohomology 57 Exercises 76 Chapter 6. Cellular Decompositions and Line Bundles 77 Exercises 92 Chapter 7. Enumerative Geometry of Lines 95 v
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