Quantum Field Theory, Supersymmetry, and Enumerative Geometry

W. Fulton, Enumerative geometry (with notes by Alastair Craw)

• Enumerative geometry (with notes by Alastair Craw)
• Bibliography

A. Bertram, Computing Gromov-Witten invariants with algebraic geometry

• Introduction and motivation
• Localization
• $J$-functions
• An alternative to WDVV
• Bibliography

D. S. Freed, Classical field theory and supersymmetry

• Introduction
• Classical mechanics
• Lagrangian field theory and symmetries
• Classical bosonic theories on Minkowski spacetime
• Fermions and the supersymmetric particle
• Free theories, quantization, and approximation
• Supersymmetric field theories
• Supersymmetric $\sigma$-models
• Bibliography

J. W. Morgan, Introduction to supermanifolds

• Introduction to supermanifolds
• Bibliography

C. V. Johnson, Notes on introductory general relativity

• Notes on introductory general relativity
• Bibliography