Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds I

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dc.creatorLi, An-Min
dc.creatorRuan, Yongbin
dc.date1998-03-10
dc.date2000-06-29
dc.date.accessioned2026-07-07T05:24:03Z
dc.date.available2026-07-07T05:24:03Z
dc.descriptionWe define relative Gromov-Witten invariants and establish a general gluing theory of pseudo-holomorphic curves for symplectic cutting and contact surgery. Then, we use our general gluing theory to study the change of GW-invariants of Calabi-Yau 3-folds tranform under flops and extremal transitions. We prove a complete formula for the change of GW-invariants of any genus transform under flop and a general type I extremal transition. Other extremal transition will be handled in a subsequent paper.
dc.descriptionLatex, revised version, a much shorter and better written version
dc.identifierhttps://arxiv.org/abs/math/9803036
dc.identifierhttp://arxiv.org/abs/math/9803036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76685
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleSymplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds I
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