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

Ai-Ko Liu
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Abstract

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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Ai-Ko Liu. 2003-08-20. A Note on Curve Counting Scheme in an Algebraic Family and The Admissible Decomposition Classes. https://arxiv.org/abs/math/0308196

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