Recursion formulas for HOMFLY and Kauffman invariants

Qingtao Chen, Nicolai Reshetikhin

Research output: Contribution to journalArticlepeer-review


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
Issue number5
StatePublished - Apr 2014


  • Kauffman
  • embedding
  • recursion

ASJC Scopus subject areas

  • Algebra and Number Theory

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