A Note on Curve Counting Scheme in an Algebraic Family and The Admissible Decomposition Classes

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68355Mcduff had proposed in 1997 a way to modify the definition of Taubes' version of Gromov invariant when multiple coverings of -1 curves appear. In this paper we generalize Mcduff's proposal to the family case, as is needed in the discussion of family Seiberg-Witten theory. For simplicity, the discussion has been formulated in the algebraic category.27 pagesDifferential GeometryAlgebraic Geometry53D99A Note on Curve Counting Scheme in an Algebraic Family and The Admissible Decomposition Classestext