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Closed incompressible surfaces in knot complements
| Content Provider | Semantic Scholar |
|---|---|
| Author | Finkelstein, Elizabeth Moriah, Yoav |
| Copyright Year | 2000 |
| Abstract | In this paper we show that given a knot or link K in a 2n-plat projection with n ≥ 3 and m ≥ 5, where m is the length of the plat, if the twist coefficients ai,j all satisfy |ai,j | > 1 then S3 −N(K) has at least 2n− 4 nonisotopic essential meridional planar surfaces. In particular if K is a knot then S3−N(K) contains closed incompressible surfaces. In this case the closed surfaces remain incompressible after all surgeries except perhaps along a ray of surgery coefficients in Z⊕ Z. |
| Starting Page | 655 |
| Ending Page | 677 |
| Page Count | 23 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9947-99-02233-3 |
| Volume Number | 352 |
| Alternate Webpage(s) | http://www2.math.technion.ac.il/~ymoriah/papers/Closedincomp_Pub.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9947-99-02233-3 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
