Transformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpoint

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dc.creatorLiu, Chien-Hao
dc.creatorYau, Shing-Tung
dc.date2005-05-05
dc.date.accessioned2026-07-07T05:19:39Z
dc.date.available2026-07-07T05:19:39Z
dc.descriptionWe study how Gromov-Witten invariants of projective 3-folds transform under a standard flop and a small extremal transition in the algebro-geometric setting from the recent development of algebraic relative Gromov-Witten theory and its applications. This gives an algebro-geometric account of Witten's wall-crossing formula for correlation functions of the descendant nonlinear sigma model in adjacent geometric phases of a gauge linear sigma model and of the symplectic approach in an earlier work of An-Min Li and Yongbin Ruan on the same problem. A terse account from the stringy and the symplectic viewpoint is given in the appendix to complement and compare to the discussion in the main text.
dc.description38+2 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0505084
dc.identifierhttp://arxiv.org/abs/math/0505084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75093
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectSymplectic Geometry
dc.subject14N35; 53D45, 81T30
dc.titleTransformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpoint
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