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arXiv math/0308196math.DGmath.AG

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

Ai-Ko Liu

英文摘要:

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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