Journal article
Cut-disks for level spheres in link and tangle complements
Topology and its applications, Vol.156(4), pp.783-794
2009
DOI: 10.1016/j.topol.2008.10.018
Abstract
Wu has shown that if a link or a knot L in S 3 in thin position has thin spheres, then the thin sphere of lowest width is an essential meridional surface in the link complement. In this paper we show that if we further assume that L ⊂ S 3 is prime, then the thin sphere of lowest width also does not have any vertical cut-disks. We also prove the result for a specific kind of tangles in S 2 × [ − 1 , 1 ] .
Details
- Title: Subtitle
- Cut-disks for level spheres in link and tangle complements
- Creators
- Maggy Tomova - University of Iowa, Mathematics, 14 McLean Hall, Iowa city, IA, USA
- Resource Type
- Journal article
- Publication Details
- Topology and its applications, Vol.156(4), pp.783-794
- DOI
- 10.1016/j.topol.2008.10.018
- ISSN
- 0166-8641
- eISSN
- 1879-3207
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 2009
- Academic Unit
- Liberal Arts and Science Admin; Mathematics
- Record Identifier
- 9983985861802771
Metrics
17 Record Views