Mustafa Hajij

The colored Kauffman Skein relation and the head and tail of the colored Jones polynomial

Using the colored Kauffman skein relation, we study the highest and lowest

The Bubble skein element and applications

4n

Segmenting a surface mesh into pants using Morse theory

coefficients of the

SINGULAR KNOTS AND INVOLUTIVE QUANDLES

n^{th}

Unknotted Strand Routings of Triangulated Meshes

unreduced colored Jones polynomial of alternating links. This gives a natural extension of a result by Kauffman in regard with the Jones polynomial of alternating links and its highest and lowest coefficients. We also use our techniques to give a new and natural proof for the existence of the tail of the colored Jones polynomial for alternating links.

The Shape of an Image - A Study of Mapper on Images

We study a certain skein element in the relative Kauffman bracket skein module of the disk with some marked points, and expand this element in terms linearly independent elements of this module. This expansion is used to compute and study the head and the tail of the colored Jones polynomial and in particular we give a simple

On Rational Knots and Links in the Solid Torus

q-

Jones's polynomial for links in the handlebody

series for the tail of the knot

The tail of a quantum spin network

8_5

Pretzel Knots and

. Furthermore, we use this expansion to obtain an easy determination of the theta coefficients.