Does the Jones polynomial detect unknottedness?
Experimental Mathematics, ISSN: 1944-950X, Vol: 6, Issue: 1, Page: 51-56
1997
- 20Citations
- 77Usage
- 2Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations20
- Citation Indexes20
- 20
- CrossRef13
- Usage77
- Downloads75
- Abstract Views2
- Captures2
- Readers2
Article Description
There have been many attempts to settle the question whether there exist nontrivial knots with trivial Jonespolynomial. In this paper we show that such a knot must have crossing number at least 18. Furthermore we give the number of prime alternating knots and an upper bound for the number of prime knots up to 17 crossings. We also compute the number of different HOMFLY, Jonesand Alexander polynomials for knots up to 15 crossings. © A K Peters, Ltd.
Bibliographic Details
https://digitalcommons.lsu.edu/mathematics_pubs/247; https://repository.lsu.edu/mathematics_pubs/247
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0031287705&origin=inward; http://dx.doi.org/10.1080/10586458.1997.10504350; http://www.tandfonline.com/doi/abs/10.1080/10586458.1997.10504350; http://www.tandfonline.com/doi/pdf/10.1080/10586458.1997.10504350; https://digitalcommons.lsu.edu/mathematics_pubs/247; https://digitalcommons.lsu.edu/cgi/viewcontent.cgi?article=1246&context=mathematics_pubs; https://repository.lsu.edu/mathematics_pubs/247; https://repository.lsu.edu/cgi/viewcontent.cgi?article=1246&context=mathematics_pubs
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