Mathematics

Topics:

• Localization formulae and equivariant cohomology
• Supersymmetric Quantum Mechanics and Morse theory
• Supersymmetric sigma-models and topological twist
• A and B models, quantum cohomology and mirror symmetry

Content:

1.The electromagnetic feld

Facts from Physics: a) Electrostatics, b) Magnetostatics, c) Electromagnetism.

Differential forms on R^n. Potentials, gauge invariance and wave equation.

4-dimensional form of Maxwell equations.

2.Matter and gauge fields

Space-time.Spinors. Action functionals for matter fields.

Noether's theorem and conservation laws.