Family Seiberg-Witten invariants and wall crossing formulas

Details Family Seiberg-Witten invariants and wall crossing formulas Family Seiberg-Witten invariants and wall crossing formulas

2001-07-29

arxiv.org/abs/math/0107211v2

Mathematics

Geometric Topology

46 pages Typos corrected, references updated, Theorem 2.2 made more precise

Scientific paper

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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