Journal article
Companions of the unknot and width additivity
Journal of knot theory and its ramifications, Vol.20(4), pp.497-511
2011
DOI: 10.1142/S0218216511009352
Abstract
It has been conjectured that for knots K and K′ in S 3 , w(K # K′) = w(K) + w(K′) - 2. In [7], Scharlemann and Thompson proposed potential counterexamples to this conjecture. For every n, they proposed a family of knots [Formula: see text] for which they conjectured that [Formula: see text] where B n is a bridge number n knot. We show that for n > 2 none of the knots in [Formula: see text] produces such counterexamples.
Details
- Title: Subtitle
- Companions of the unknot and width additivity
- Creators
- Ryan BlairMaggy Tomova
- Resource Type
- Journal article
- Publication Details
- Journal of knot theory and its ramifications, Vol.20(4), pp.497-511
- DOI
- 10.1142/S0218216511009352
- ISSN
- 0218-2165
- eISSN
- 1793-6527
- Language
- English
- Date published
- 2011
- Academic Unit
- Liberal Arts and Science Admin; Mathematics
- Record Identifier
- 9983985888302771
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