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

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

2003-08-20

arxiv.org/abs/math/0308196v1

Mathematics

Differential Geometry

27 pages

Scientific paper

Mcduff 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.

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