The Family Blowup Formula of the Family Seiberg-Witten Invariants

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dc.creatorLiu, Ai-Ko
dc.date2003-05-20
dc.date.accessioned2026-07-07T04:58:09Z
dc.date.available2026-07-07T04:58:09Z
dc.descriptionIn 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.
dc.description79 pages, supplement of the long paper: family blowup formula, admissible graphs and the enumeration of singular curves, I
dc.identifierhttps://arxiv.org/abs/math/0305294
dc.identifierhttp://arxiv.org/abs/math/0305294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67522
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject57R17; 14N99
dc.titleThe Family Blowup Formula of the Family Seiberg-Witten Invariants
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