HOMFLY polynomial and Quantum invariant

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between HOMFLY polynomial and Quantum invariant

HOMFLY polynomial vs. Quantum invariant

In the mathematical field of knot theory, the HOMFLY polynomial, sometimes called the HOMFLY-PT polynomial or the generalized Jones polynomial, is a 2-variable knot polynomial, i.e. a knot invariant in the form of a polynomial of variables m and l. A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot. In the mathematical field of knot theory, a quantum knot invariant or quantum invariant of a knot or link is a linear sum of colored Jones polynomial of surgery presentations of the knot complement.

Similarities between HOMFLY polynomial and Quantum invariant

HOMFLY polynomial and Quantum invariant have 2 things in common (in Unionpedia): Knot invariant, Knot theory.

Knot invariant

In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots.

HOMFLY polynomial and Knot invariant · Knot invariant and Quantum invariant · See more »

Knot theory

In topology, knot theory is the study of mathematical knots.

HOMFLY polynomial and Knot theory · Knot theory and Quantum invariant · See more »

The list above answers the following questions

What HOMFLY polynomial and Quantum invariant have in common
What are the similarities between HOMFLY polynomial and Quantum invariant

HOMFLY polynomial and Quantum invariant Comparison

HOMFLY polynomial has 18 relations, while Quantum invariant has 26. As they have in common 2, the Jaccard index is 4.55% = 2 / (18 + 26).

References

This article shows the relationship between HOMFLY polynomial and Quantum invariant. To access each article from which the information was extracted, please visit:

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