14 citations · 23 across the 21 of their papers we have counts for
25 papers
On representations of the triplet group and some of its extensions
Mohamad N. Nasser, Nafaa Chbili, Khaled Qazaqzeh
In this paper, we study the representations of the triplet group , where is a positive integer, together with their extensions to the virtual and welded triplet groups $VL…
Algebraic and topological aspects of the singular twin group and its representations
Mohamad N. Nasser, Nafaa Chbili
In this article, we introduce the singular twin monoid and its corresponding group, constructed from both algebraic and topological perspectives. We then classify all complex homog…
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.
BPS Spectra of complex knots
Vivek Kumar Singh, Nafaa Chbili
Marino's conjecture remains underexplored within the framework of string dualities. In this article, we investigated the reformulated invariants of a one-parameter family…
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…
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 repres…