Family Seiberg-Witten invariants and wall crossing formulas

Tian-Jun Li; Ai-Ko Liu

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Family Seiberg-Witten invariants and wall crossing formulas

Tian-Jun Li·Ai-Ko Liu

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Abstract

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.

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Tian-Jun Li, Ai-Ko Liu. 2001-08-31. Family Seiberg-Witten invariants and wall crossing formulas. https://arxiv.org/abs/math/0107211

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