An Introduction to the Seiberg–Witten Equations

15.05.2026, 11:00  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis

Laios Zafeiriou (Bonn) (online)

The Seiberg–Witten equations provide a powerful tool for studying the topology of smooth four-manifolds via gauge-theoretic methods. In this talk, we introduce the equations and the geometric framework in which they are defined, focusing on connections on line bundles, spin^c structures, and the associated Dirac operator. We then discuss the moduli space of solutions modulo gauge transformations and outline how Seiberg–Witten invariants arise from counting these solutions. Time permitting, we briefly mention some applications and connections to other approaches in four-manifold topology.

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