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math.GT2025
A characterization of adequate Turaev genus one links
Khaled Qazaqzeh, Nafaa Chbili, Adam M. Lowrance
We prove that a link is adequate and has Turaev genus one if and only if the span of its Jones polynomial is one less than its crossing number.
math.GT2024
A Simple Characterization of Adequate Links
Khaled Qazaqzeh, Nafaa Chbili
We prove that the Jones diameter of a link is twice its crossing number whenever the breadth of its Jones polynomial equals the difference between the crossing number and the Turae…
math.GT2024
Extensions of braid group representations to the monoid of singular braids
Valeriy G. Bardakov, Nafaa Chbili, Tatyana A. Kozlovskaya
Given a representation of the braid group , into a group , we are considering the problem of whether it is possible to extend this repre…