Cosmic String, Harvey-Moore Conjecture and Family Seiberg-Witten Theory

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dc.creatorLiu, Ai-Ko
dc.date2004-09-02
dc.date.accessioned2026-07-07T05:11:45Z
dc.date.available2026-07-07T05:11:45Z
dc.descriptionIn this paper, we study the enumeration of virtual numbers of immersed nodal curves along certain Calabi-Yau K3 fibrations. By using the concept of cosmic strings, we verify the modularity conjeture of the generating function of immersed nodal curves from String theory (Harvey-Moore). Based on the theory defining virtual numbers of nodal curves on algebraic surface (applying to a pencil of lattice polarized K3), a mathematical definition of virtual numbers of immersed rational curves (so-called Gopakumar-Vafa numbers) for Calabi-Yau K3 fibrations is given and it is shown to match up with string theory prediction.
dc.description49 pages
dc.identifierhttps://arxiv.org/abs/math/0409038
dc.identifierhttp://arxiv.org/abs/math/0409038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72351
dc.subjectAlgebraic Geometry
dc.subject14N99
dc.titleCosmic String, Harvey-Moore Conjecture and Family Seiberg-Witten Theory
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