Invariants of Kähler manifolds and Generalized Seiberg-Witten Equations
von Marcel Bigorajski
Datum der mündl. Prüfung:2024-01-15
Erschienen:2024-03-06
Betreuer:Prof. Dr. Viktor Pidstrygach
Gutachter:Prof. Dr. Viktor Pidstrygach
Gutachter:Prof. Dr. Frank Gounelas
Gutachter:Prof. Dr Thomas Walpulski
Dateien
Name:DissertationV2 (17).pdf
Size:1.56Mb
Format:PDF
Zusammenfassung
Englisch
The thesis explores the generalized Seiberg-Witten equations, a gauge theoretic differential equation arising in physics by coupling a non-linear spinor to a connection. The study involves an analysis of the solution space associated with these equations using methods from complex/algebraic geometry, revealing novel invariants of four dimensional Kähler manifolds.
Keywords: Differential Geometry; Gauge Theory; Complex Geometry; Seiberg-Witten Theory