Disc counting on toric varieties via tropical curves

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dc.creatorNishinou, Takeo
dc.date2006-10-22
dc.date2006-11-27
dc.date.accessioned2026-07-07T07:29:19Z
dc.date.available2026-07-07T07:29:19Z
dc.descriptionIn this paper, we define two numbers. One comes from counting tropical curves with a stop and the other is the number of holomorphic discs in toric varieties with Lagrangian boundary condition. Both of these curves should satisfy some matching conditions. We show that these numbers coincide. These numbers can be considered as Gromov-Witten type invariants for holomorphic discs, and they have both similarities and differences to the counting numbers of closed holomorphic curves. We study several aspects of them.
dc.descriptionRevised version
dc.identifierhttps://arxiv.org/abs/math/0610660
dc.identifierhttp://arxiv.org/abs/math/0610660
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118057
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14N35;14N10;32Q65
dc.titleDisc counting on toric varieties via tropical curves
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