Journal article
Thin position for knots in a 3-manifold
Journal of the London Mathematical Society, Vol.80(1), pp.85-98
09/24/2006
DOI: 10.1112/jlms/jdp009
Abstract
We extend the notion of thin multiple Heegaard splittings of a link in a 3-manifold to take into consideration not only compressing disks but also cut-disks for the Heegaard surfaces. We prove that if H is a c-strongly compressible bridge surface for a link K contained in a closed orientable irreducible 3-manifold M then one of the following is satisfied: H is stabilized, H is meridionally stabilized, H is perturbed, a component of K is removable, M contains an essential meridional surface.
Details
- Title: Subtitle
- Thin position for knots in a 3-manifold
- Creators
- Maggy Tomova
- Resource Type
- Journal article
- Publication Details
- Journal of the London Mathematical Society, Vol.80(1), pp.85-98
- DOI
- 10.1112/jlms/jdp009
- ISSN
- 0024-6107
- eISSN
- 1469-7750
- Language
- English
- Date published
- 09/24/2006
- Academic Unit
- Liberal Arts and Science Admin; Mathematics
- Record Identifier
- 9983985830602771
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