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COLORED HOMFLY POLYNOMIALS FROM CHERN–SIMONS THEORY

SATOSHI NAWATA

NIKHEF Theory Group, Science Park 105, 1098 XG Amsterdam, The Netherlands

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P. RAMADEVI

Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India

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, and

ZODINMAWIA

Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India

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https://doi.org/10.1142/S0218216513500788Cited by:47 (Source: Crossref)

Abstract

We elaborate the Chern–Simons field theoretic method to obtain colored HOMFLY invariants of knots and links. Using multiplicity-free quantum 6j-symbols for U_q(𝔰𝔩_N), we present explicit evaluations of the HOMFLY invariants colored by symmetric representations for a variety of knots, two-component links and three-component links.

Keywords:

AMSC: 57M25, 57R56, 58J28

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