Seiberg-Witten invariants of Kähler and symplectic manifolds
— Time: 15:00 — Location: HFG 707
This talk is part of the following reading seminar: Seiberg-Witten theory (Fall 2025).
Abstract
When our ambient manifold is Kähler, the Seiberg-Witten equations can be rewritten in terms of certain holomorphic objects called vortices (namely, holomorphic line bundles and sections thereof). This allows us to explicitly compute the Seiberg-Witten invariant in some cases. The goal of the talk is to explain this line of reasoning, which is due to Witten. If time allows, I will comment briefly on analogous results on the symplectic setting, due to Taubes.