Jones polynomial and Torus knot

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

Difference between Jones polynomial and Torus knot

Jones polynomial vs. Torus knot

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984. In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3.

Similarities between Jones polynomial and Torus knot

Jones polynomial and Torus knot have 6 things in common (in Unionpedia): Alexander polynomial, Braid group, Knot (mathematics), Knot theory, Link (knot theory), Unknot.

Alexander polynomial

In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.

Alexander polynomial and Jones polynomial · Alexander polynomial and Torus knot · See more »

Braid group

In mathematics, the braid group on strands (denoted), also known as the Artin braid group, is the group whose elements are equivalence classes of n-braids (e.g. under ambient isotopy), and whose group operation is composition of braids (see). Example applications of braid groups include knot theory, where any knot may be represented as the closure of certain braids (a result known as Alexander's theorem); in mathematical physics where Artin's canonical presentation of the braid group corresponds to the Yang–Baxter equation (see); and in monodromy invariants of algebraic geometry.

Braid group and Jones polynomial · Braid group and Torus knot · See more »

Knot (mathematics)

In mathematics, a knot is an embedding of a circle S^1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies).

Jones polynomial and Knot (mathematics) · Knot (mathematics) and Torus knot · See more »

Knot theory

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

Jones polynomial and Knot theory · Knot theory and Torus knot · See more »

Link (knot theory)

In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together.

Jones polynomial and Link (knot theory) · Link (knot theory) and Torus knot · See more »

Unknot

The unknot arises in the mathematical theory of knots.

Jones polynomial and Unknot · Torus knot and Unknot · See more »

The list above answers the following questions

What Jones polynomial and Torus knot have in common
What are the similarities between Jones polynomial and Torus knot

Jones polynomial and Torus knot Comparison

Jones polynomial has 47 relations, while Torus knot has 43. As they have in common 6, the Jaccard index is 6.67% = 6 / (47 + 43).

References

This article shows the relationship between Jones polynomial and Torus knot. To access each article from which the information was extracted, please visit:

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