Recursion formulas for HOMFLY and Kauffman invariants

Qingtao Chen; Nicolai Reshetikhin

doi:10.1142/S0218216514500242

Recursion formulas for HOMFLY and Kauffman invariants

Qingtao Chen, Nicolai Reshetikhin

Mathematics

Research output: Contribution to journal › Article

Abstract

In this paper, we describe the recursion relations between two parameter HOMFLY and Kauffman polynomials of framed links. These relations correspond to embeddings of quantized universal enveloping algebras. The relation corresponding to embeddings g_n ⊃ g_k × sl _n-k where g_n is either so_2n+1, so_2n or sp_2n is new.

Original language	English (US)
Article number	1450024
Journal	Journal of Knot Theory and its Ramifications
Volume	23
Issue number	5
DOIs	https://doi.org/10.1142/S0218216514500242
State	Published - Apr 2014

Keywords

HOMFLY
Kauffman
embedding
recursion

ASJC Scopus subject areas

Algebra and Number Theory

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