Construction of Kuranishi structureson the moduli spaces of pseudo-holomorphic disks: II
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SCOPUS
- Title
- Construction of Kuranishi structureson the moduli spaces of pseudo-holomorphic disks: II
- Authors
- OH, YONG GEUN; Fukaya, Kenji; Ohta, Hiroshi; Ono, Kaoru
- Date Issued
- 2024-04
- Publisher
- Academic Press
- Abstract
- This is the second of a series of two articles in which we provide detailed and self-contained account of the construction of a system of Kuranishi structures on the moduli spaces of pseudo-holomorphic disks. Using the notion of obstruction bundle data introduced in [10], we give a systematic way of constructing a system of Kuranishi structures on the moduli spaces of pseudo-holomorphic disks which are compatible at the boundary and corners. More specifically, it defines a tree-like K-system in the sense of [8, Definition 21.9], [11, Definition 21.9]. The method given in this paper does not only simplify the description of the constructions in the earlier literature, but also is designed to provide a systematic utility tool for the construction of a system of Kuranishi structures in the future research. We also establish its uniqueness.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/123016
- DOI
- 10.1016/j.aim.2024.109561
- ISSN
- 0001-8708
- Article Type
- Article
- Citation
- Advances in Mathematics, vol. 442, 2024-04
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