Family Seiberg-Witten invariants and wall crossing formulas

By Tian-Jun Li, A. Liu. 2001

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In this paper we set up the family Seiberg-Witten theory. It can be applied to the counting of nodal pseudo-holomorphic curves in a symplectic 4-manifold (especially a Kahler surface). A new feature in this theory is that the chamber structure plays a more prominent role. We derive some wall crossing formulas measuring how the family Seiberg-Witten invariants change from one chamber to another.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3f9140412e9b603e157b7f506706347787339cb5