The HOMFLY polynomial is a knot invariant, which means it is a mathematical object that can be used to distinguish different knots and links in three-dimensional space. It extends the concepts of the Alexander polynomial and the Jones polynomial, making it a more powerful tool in the study of knot theory. The HOMFLY polynomial was introduced by HOMFLY, which is an acronym for the initials of the authors: H. G. H. Kauffman, M. W. W. L.

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