Birational Calabi-Yau 3-folds and BPS state counting

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dc.creatorToda, Yukinobu
dc.date2007-07-11
dc.date2008-03-16
dc.date.accessioned2026-07-07T09:26:42Z
dc.date.available2026-07-07T09:26:42Z
dc.descriptionThis paper contains some applications of Bridgeland-Douglas stability conditions on triangulated categories, and Joyce's work on counting invariants of semistable objects, to the study of birational geometry. We introduce the notion of motivic Gopakumar-Vafa invariants as counting invariants of D2-branes, and show that they are invariant under birational transformations between Calabi-Yau 3-folds. The result is similar to the fact that birational Calabi-Yau 3-folds have the same betti numbers or Hodge numbers.
dc.descriptionSome explanations and proofs are added. To appear in Communications in Number Theory and Physics
dc.identifierhttps://arxiv.org/abs/0707.1643
dc.identifierhttp://arxiv.org/abs/0707.1643
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156845
dc.subjectAlgebraic Geometry
dc.subject14E30, 14D20, 18E30,
dc.titleBirational Calabi-Yau 3-folds and BPS state counting
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