Recursion Formulas for HOMFLY and Kauffman Invariants

Qingtao Chen; Nicolai Reshetikhin

paper

Recursion Formulas for HOMFLY and Kauffman Invariants

arXiv:1401.1927

Abstract

In this note we describe the recursion relations between two parameter HOMLFY and Kauffman polynomials of framed links These relation correspond to embeddings of quantized universal enveloping algebras. The relation corresponding to embeddings $g_{n} \supset g_{k} \times s l_{n - k}$ where $g_{n}$ is either $s o_{2 n + 1}$ , $s o_{2 n}$ or $s p_{2 n}$ is new.

17 pages

References in corpus (1)

On the Kauffman-Vogel and the Murakami-Ohtsuki-Yamada Graph Polynomials