On the modular Jones polynomial
A major problem in knot theory is to decide whether the Jones polynomial detects the unknot. In this paper we study a weaker related problem, namely whether the Jones polynomial reduced modulo an integer $m$ detects the unknot. The answer is known to be negative for $m=2^r$ with $r\ge 1$ and $m=3$....
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Format: | Article |
Language: | English |
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Académie des sciences
2020-12-01
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Series: | Comptes Rendus. Mathématique |
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Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.106/ |