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

Chien-Hao Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43674

arXiv preprint math/0609483, 2006.9
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.
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@inproceedings{chien-hao2006degeneration,
  title={Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut},
  author={Chien-Hao Liu, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204914059612238},
  booktitle={arXiv preprint math/0609483},
  year={2006},
}
Chien-Hao Liu, and Shing-Tung Yau. Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut. 2006. In arXiv preprint math/0609483. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204914059612238.
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