@article{32b98b98265042d49bf2f1831cdb823e,
title = "Recursion formulas for HOMFLY and Kauffman invariants",
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.",
keywords = "HOMFLY, Kauffman, embedding, recursion",
author = "Qingtao Chen and Nicolai Reshetikhin",
note = "Funding Information: The authors thank Hao Wu for discussions and comments. Q. Chen would like to thank ICTP for a generous research grant associated to the Shiing-Shen Chern Senior Postdoctoral Fellow position at ICTP. N. Reshetikhin acknowledges the support from the Chern–Simons chair, the NSF grant DMS-1201391 and the University of Amsterdam where important part of the work was done. Both authors are grateful to QGM, Aarhus, for the hospitality. We also thank referee for pointing out valuable suggestions and correcting typos.",
year = "2014",
month = apr,
doi = "10.1142/S0218216514500242",
language = "English (US)",
volume = "23",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific",
number = "5",
}