## Topological string theory

### Dr. Alessandro Tanzini

Contents:

- Morse theory and supersymmetric quantum mechanics
- Morse inequality, the Morse-Witten complex
- Equivariant cohomology, localisation formulae, Mathai-Quillen formalism
- Supersymmetric algebra in two dimensions. Topologial twist: the A-model and the B-model
- Quantum mechanical formalism for Gromov-Witten invariants, introduction to mirror simmetry