Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: II
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| Main Authors: | , , , |
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| Format: | Preprint |
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2018
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| _version_ | 1866914679268311040 |
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| author | Fukaya, Kenji Oh, Yong-Geun Ohta, Hiroshi Ono, Kaoru |
| author_facet | Fukaya, Kenji Oh, Yong-Geun Ohta, Hiroshi Ono, Kaoru |
| contents | 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 [FOOO8], 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 [FOOO6, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_06106 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: II Fukaya, Kenji Oh, Yong-Geun Ohta, Hiroshi Ono, Kaoru Symplectic Geometry 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 [FOOO8], 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 [FOOO6, 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. |
| title | Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: II |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/1808.06106 |