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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We 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.
102+2 pages

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Symplectic Geometry, High Energy Physics - Theory, Algebraic Geometry, 53D45; 14N35, 81T30

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http://salesiana.dossiersoluciones.com/handle/123456789/116551

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609483
 http://arxiv.org/abs/math/0609483

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arXiv