Recursion formulas for HOMFLY and Kauffman invariants

Qingtao Chen, Nicolai Reshetikhin

Research output: Contribution to journalArticle

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 gn ⊃ gk × sl n-k where gn is either so2n+1, so2n or sp2n is new.

Original languageEnglish (US)
Article number1450024
JournalJournal of Knot Theory and its Ramifications
Volume23
Issue number5
DOIs
StatePublished - Jan 1 2014

Fingerprint

Recursion Formula
Kauffman Polynomial
HOMFLY Polynomial
Quantized Enveloping Algebra
Universal Enveloping Algebra
Recursion Relations
Invariant
Two Parameters

Keywords

  • embedding
  • HOMFLY
  • Kauffman
  • recursion

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Recursion formulas for HOMFLY and Kauffman invariants. / Chen, Qingtao; Reshetikhin, Nicolai.

In: Journal of Knot Theory and its Ramifications, Vol. 23, No. 5, 1450024, 01.01.2014.

Research output: Contribution to journalArticle

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