turkmath.org

The problem of distinguishing one knot or link from another one is a classical mathematical problem, which is closely related to the problem of classifaction of knots. Polynomial invariants of knots such as Khovanov- Rozansky polynomials and colored HOMFLY-PT polynomials are conjecturally managed to solve these problems. On the other side, the research on polynomial invariants is not only motivated by the basic problem of distinguishing knots but also to understand fundamental properties of knots and their relations to other branches of mathematics. In my talk I will give some basic definitions of polynomial invariants and give an overview of some results.