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Band sums of links which yield composite links. The cabling conjecture for strongly invertible knots
| Content Provider | Semantic Scholar |
|---|---|
| Author | Muñoz, Mario Eudave |
| Copyright Year | 1992 |
| Abstract | We consider composite links obtained by bandings of another link. It is shown that if a banding of a split link yields a composite knot then there is a decomposing sphere crossing the band in one arc, unless there is such a sphere disjoint from the band. We also prove that if a banding of the trivial knot yields a composite knot or link then there is a decomposing sphere crossing the band in one arc. The last theorem implies, via double branched covers, that the only way we can get a reducible manifold by surgery on a strongly invertible knot is when the knot is cabled and the surgery is via the slope of the cabling annulus. |
| Starting Page | 463 |
| Ending Page | 501 |
| Page Count | 39 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9947-1992-1112545-X |
| Volume Number | 330 |
| Alternate Webpage(s) | https://www.ams.org/journals/tran/1992-330-02/S0002-9947-1992-1112545-X/S0002-9947-1992-1112545-X.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9947-1992-1112545-X |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
