Pochette surgery of 4-sphere
| Autor: | Suzuki, Tatsumasa, Tange, Motoo |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Pacific J. Math. 324 (2023) 371-398 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/pjm.2023.324.371 |
| Popis: | Iwase and Matsumoto defined `pochette surgery' as a cut-and-paste on 4-manifolds along a 4-manifold homotopy equivalent to $S^2\vee S^1$. The first author in [10] studied infinitely many homotopy 4-spheres obtained by pochette surgery. In this paper we compute the homology of pochette surgery of any homology 4-sphere by using `linking number' of a pochette embedding. We prove that pochette surgery with the trivial cord does not change the diffeomorphism type or gives a Gluck surgery. We also show that there exist pochette surgeries on the 4-sphere with a non-trivial core sphere and a non-trivial cord such that the surgeries give the 4-sphere. Comment: 23 pages, 15 figures |
| Databáze: | arXiv |
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