Mark E. AlSukaiti

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math.GT2023

Alexander Polynomials of closed alternating braids

Mark E. AlSukaiti, Nafaa Chbili

We prove that the Alexander polynomials of certain families of alternating 4-braid knots satisfy Fox's Trapezoidal Conjecture. Moreover, we give explicit formulas for the signature…

math.GT2023

Alexander and Jones Polynomials of weaving 3-braid links and Whitney rank polynomials of Lucas lattice

Mark E. AlSukaiti, Nafaa Chbili

We establish a relationship between the Jones polynomial of generalized weaving knots of type $W (3, n, m)$ and the Chebyshev polynomial of the first kind. Consequently, we prove that…