Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut

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dc.creatorLiu, Chien-Hao
dc.creatorYau, Shing-Tung
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:24:55Z
dc.date.available2026-07-07T07:24:55Z
dc.descriptionWe study the degeneration and the gluing of Kuranishi structures in Gromov-Witten theory under a symplectic cut. This leads us to a degeneration axiom and a gluing axiom for open Gromov-Witten invariants. They provide then a route to the construction of virtual fundamental chains via specialization. Comments on the equivalence of the degeneration formula of closed Gromov-Witten invariants by Li-Ruan/Li versus Ionel-Parker are given in the Appendix.
dc.description102+2 pages
dc.identifierhttps://arxiv.org/abs/math/0609483
dc.identifierhttp://arxiv.org/abs/math/0609483
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116551
dc.subjectSymplectic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subject53D45; 14N35, 81T30
dc.titleDegeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut
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