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The Family Blowup Formula of the Family Seiberg-Witten Invariants

Ai-Ko Liu
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Abstract

In the paper we formulate and derive the family blowup formula of family Seiberg-Witten invariants. The formula has been used in the enumerative application of counting singular curves on algebraic surfaces. We first give a topological derivation of the formula by using family index theorem. Then we define the algebraic (family) Seiberg-Witten invariants for algebraic surfaces and then give an algebraic derivation of the family blowup formula for the algebraic family Seiberg-Witten invariants.

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Ai-Ko Liu. 2003-05-20. The Family Blowup Formula of the Family Seiberg-Witten Invariants. https://arxiv.org/abs/math/0305294

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