An Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves by Joachim Kock
Elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves
Viewpoint is mostly that of enumerative geometry
Emphasis is on examples, heuristic discussions, and simple applications to best convey the intuition behind the subject
Ideal for self-study, for a mini-course in quantum cohomology, or as a special topics text in a standard course in intersection theory