Table of Contents

Warming up to enumerative geometry Enumerative geometry in the projective plane Stable maps and enumerative geometry Crash course in topology and manifolds Crash course in $C^infty$ manifolds and cohomology Cellular decompositions and line bundles Enumerative geometry of lines Excess intersection Rational curves on the quintic threefold Mechanics Introduction to supersymmetry Introduction to string theory Topological quantum field theory Quantum cohomology and enumerative geometry Bibliography Index.