Misha Verbitsky

Instituto Nacional de Matemática Pura e Aplicada

Seiberg-Witten Invariants

Slides:

• Lecture 1: Clifford algebras, 12.01.2026.
• Lecture 2: Spinors and Spin-structures, 19.01.2026.
• Lecture 3: Spin^c-group and Spin^c-structures, 26.01.2026.
• Lecture 4: Spin^c-structures on 4-manifolds and twistor spaces, 02.02.2026.
• Lecture 5: The Dirac operator, 09.02.2026.
• Lecture 6: Seiberg-Witten equations, 16.02.2026.
• Lecture 7: Seiberg-Witten invariants, 23.02.2026.
• Lecture 8: Seiberg-Witten invariants for K\"ahler surfaces, 02.03.2026.

Home assignments

• Assignment 1: Clifford Algebras, 12.01.2026.
• Assignment 2: Principal bundles, 19.01.2026.
• Assignment 3: Serre's spectral sequence, 26.01.2026.