Constructions of homotopy 4-spheres by pochette surgery
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929476738220032 |
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| author | Suzuki, Tatsumasa |
| author_facet | Suzuki, Tatsumasa |
| contents | The pochette surgery, which was discovered by Iwase and Matsumoto, is a generalization of the Gluck surgery. In this paper we construct infinitely many embeddings of a pochette into the 4-sphere and prove that homotopy 4-spheres obtained from surgeries along these embedded pochettes are all diffeomorphic to the 4-sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_05239 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Constructions of homotopy 4-spheres by pochette surgery Suzuki, Tatsumasa Geometric Topology 57K40, 57R65 The pochette surgery, which was discovered by Iwase and Matsumoto, is a generalization of the Gluck surgery. In this paper we construct infinitely many embeddings of a pochette into the 4-sphere and prove that homotopy 4-spheres obtained from surgeries along these embedded pochettes are all diffeomorphic to the 4-sphere. |
| title | Constructions of homotopy 4-spheres by pochette surgery |
| topic | Geometric Topology 57K40, 57R65 |
| url | https://arxiv.org/abs/2205.05239 |