Mathematics – Symplectic Geometry
Scientific paper
2006-09-18
Mathematics
Symplectic Geometry
102+2 pages
Scientific paper
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.
Liu Chien-Hao
Yau Shing-Tung
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