Generating functions of stable pair invariants via wall-crossings in derived categories

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dc.creatorToda, Yukinobu
dc.date2008-05-31
dc.date.accessioned2026-07-07T09:42:05Z
dc.date.available2026-07-07T09:42:05Z
dc.descriptionThe notion of limit stability on Calabi-Yau 3-folds is introduced by the author to construct an approximation of Bridgeland-Douglas stability conditions at the large volume limit. It has also turned out that the wall-crossing phenomena of limit stable objects seem relevant to the rationality conjecture of the generating functions of Pandharipande-Thomas invariants. In this article, we shall make it clear how wall-crossing formula of the counting invariants of limit stable objects solves the above conjecture.
dc.description36pages
dc.identifierhttps://arxiv.org/abs/0806.0062
dc.identifierhttp://arxiv.org/abs/0806.0062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162053
dc.subjectAlgebraic Geometry
dc.subject14D20, 14J32, 18E30
dc.titleGenerating functions of stable pair invariants via wall-crossings in derived categories
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