The Homflypt polynomial and the oriented Thompson group

Elementary Combinatorics of the Homflypt Polynomial

We explore F.Jaeger’s state model for the HOMFLYPT polynomial. Reformulated in the language of Gauss diagrams it admits an elementary proof of existence of two HOMFLYPT polynomials for virtual string links which coincide in the case of classical links. In particular, for classical knots it gives a combinatorial proof of existence of the HOMFLYPT polynomial. In the second part of the paper we ob...

On the Hilbert Polynomial of the Homflypt Homology

We prove that the degree of the Hilbert polynomial of the HOMFLYPT homology of a closed braid B is l − 1, where l is the number of components of B. This controls the growth of the HOMFLYPT homology with respect to its polynomial grading. The Hilbert polynomial also reveals a link polynomial hidden in the HOMFLYPT polynomial.

Combinatorics of Gauss diagrams and the HOMFLYPT polynomial

extensions of some polynomial inequalities to the polar derivative

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی

the relationship between learners critical thinking ability and their performance in the reading sections of the tofel and ielts test

the study reflected in this thesis aims at finding out relationships between critical thinking (ct), and the reading sections of tofel and ielts tests. the study tries to find any relationships between the ct ability of students and their performance on reading tests of tofel and academic ielts. however, no research has ever been conducted to investigate the relationship between ct and the read...