Family Seiberg-Witten invariants and wall crossing formulas
Geometric Topology
2007-05-23 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.math/0107211,
title = {Family Seiberg-Witten invariants and wall crossing formulas},
author = {Tian-Jun Li and Ai-Ko Liu},
journal= {arXiv preprint arXiv:math/0107211},
year = {2007}
}
Comments
46 pages Typos corrected, references updated, Theorem 2.2 made more precise