14 relations: Alexander polynomial, Alternating knot, Chiral knot, Crossing number (knot theory), Figure-eight knot (mathematics), Hyperbolic link, Hyperbolic volume, Invertible knot, Jones polynomial, Kauffman polynomial, Knot theory, Prime knot, Stevedore knot (mathematics), 6₂ knot.
In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.
In knot theory, a knot or link diagram is alternating if the crossings alternate under, over, under, over, as one travels along each component of the link.
In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image.
In the mathematical area of knot theory, the crossing number of a knot is the smallest number of crossings of any diagram of the knot.
In knot theory, a figure-eight knot (also called Listing's knot or a Cavendish knot) is the unique knot with a crossing number of four.
In mathematics, a hyperbolic link is a link in the 3-sphere with complement that has a complete Riemannian metric of constant negative curvature, i.e. has a hyperbolic geometry.
In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric.
In mathematics, especially in the area of topology known as knot theory, an invertible knot is a knot that can be continuously deformed to itself, but with its orientation reversed.
In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984.
In knot theory, the Kauffman polynomial is a 2-variable knot polynomial due to Louis Kauffman.
In topology, knot theory is the study of mathematical knots.
In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable.
In knot theory, the stevedore knot is one of three prime knots with crossing number six, the others being the 62 knot and the 63 knot.
In knot theory, the 62 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 63 knot.