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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.02875 |
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| _version_ | 1866929408300810240 |
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| author | Hu, Yan Xia, Wei |
| author_facet | Hu, Yan Xia, Wei |
| contents | The Kuranishi family of the Iwasawa manifold give rise naturally to a family of (deformed) double complexes. By using the structure theorem of double complexes due to Stelzig and Qi-Khovanov, we show there are exactly $3$ isomorphism types in this family and determine explicitly structures of these $3$ types. As an application, we computed the Frölicher spectral sequence for each fiber in the Kuranishi family of the Iwasawa manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02875 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The structure of deformed double complexes on the Iwasawa manifold Hu, Yan Xia, Wei Differential Geometry 57T15, 32Q99, 32C35, 18G40 The Kuranishi family of the Iwasawa manifold give rise naturally to a family of (deformed) double complexes. By using the structure theorem of double complexes due to Stelzig and Qi-Khovanov, we show there are exactly $3$ isomorphism types in this family and determine explicitly structures of these $3$ types. As an application, we computed the Frölicher spectral sequence for each fiber in the Kuranishi family of the Iwasawa manifold. |
| title | The structure of deformed double complexes on the Iwasawa manifold |
| topic | Differential Geometry 57T15, 32Q99, 32C35, 18G40 |
| url | https://arxiv.org/abs/2407.02875 |