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Studies of distance one surgeries on the lens space L(p, 1).
- Source :
-
Mathematical Proceedings of the Cambridge Philosophical Society . Mar2022, Vol. 172 Issue 2, p267-301. 35p. - Publication Year :
- 2022
-
Abstract
- In this paper, we study distance one surgeries between lens spaces L(p, 1) with p ≥ 5 prime and lens spaces L(n, 1) for $$n \in \mathbb{Z}$$ and band surgeries from T (2, p) to T (2, n). In particular, we prove that L(n, 1) is obtained by a distance one surgery from L(5, 1) only if n=±1, 4, ±5, 6 or ±9, and L(n, 1) is obtained by a distance one surgery from L(7, 1) if and only if n=±1, 3, 6, 7, 8 or 11. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SURGERY
Subjects
Details
- Language :
- English
- ISSN :
- 03050041
- Volume :
- 172
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publication Type :
- Academic Journal
- Accession number :
- 155211268
- Full Text :
- https://doi.org/10.1017/S0305004121000220