Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: I
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| Main Authors: | , , , |
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| Format: | Preprint |
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2017
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| _version_ | 1866913255346143232 |
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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 first 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 exponential decay estimate given in [FOOO7]. This article completes the construction of a Kuranishi structure of a single moduli space. This article is an improved version of [FOOO4, Part 4] and its mathematical content is taken from our earlier writing [FOn,FOOO2,FOOO4,FOOO7]. The version 2 contains a correction of typological errors in the statement of Lemma 10.11 and the statement of Proposition 10.4. The proof of them are not changed. (Note these places were written in the same way as version 1 in the version published in Surveys in Differential Geometry.) |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1710_01459 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: I Fukaya, Kenji Oh, Yong-Geun Ohta, Hiroshi Ono, Kaoru Symplectic Geometry Differential Geometry 53D37, 53D40 This is the first 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 exponential decay estimate given in [FOOO7]. This article completes the construction of a Kuranishi structure of a single moduli space. This article is an improved version of [FOOO4, Part 4] and its mathematical content is taken from our earlier writing [FOn,FOOO2,FOOO4,FOOO7]. The version 2 contains a correction of typological errors in the statement of Lemma 10.11 and the statement of Proposition 10.4. The proof of them are not changed. (Note these places were written in the same way as version 1 in the version published in Surveys in Differential Geometry.) |
| title | Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: I |
| topic | Symplectic Geometry Differential Geometry 53D37, 53D40 |
| url | https://arxiv.org/abs/1710.01459 |