Ambient isotopy — In the mathematical subject of topology, an ambient isotopy, also called an h isotopy, is a kind of continuous distortion of an ambient space , a manifold, taking a submanifold to another submanifold. For example in knot theory, one considers two … Wikipedia
List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… … Wikipedia
Kauffman polynomial — The Kauffman polynomial is a 2 variable knot polynomial due to Louis Kauffman. It is initially defined on a link diagram as:F(K)(a,z)=a^{ w(K)}L(K),where w(K) is the writhe of the link diagram and L(K) is a polynomial in a and z defined on… … Wikipedia
Louis Kauffman — Louis H. Kauffman (3 February, 1945) is an American mathematician, topologist, and professor of Mathematics in the Department of Mathematics, Statistics, and Computer science at the University of Illinois at Chicago. He is known for the… … Wikipedia
Framed knot — In the mathematical theory of knots, a framed knot is the extension of a tame knot to an embedding of the solid torus D 2 times; S 1 in S 3.The framing of the knot is the linking number of the image of the ribbon I times; S 1 with the knot. As… … Wikipedia
Self-linking number — In knot theory, the self linking number is an invariant of framed knots. It is related to the linking number of curves.A framing of a knot is a choice of a non tangent vector at each point of the knot. Given a framed knot C , the self linking… … Wikipedia
Homotopy — This article is about topology. For chemistry, see Homotopic groups. The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy. In topology, two continuous functions from one… … Wikipedia
Knots and graphs — Knots and graph theory are related in some simple ways. The triangle is associated with the trefoil knot. Contents 1 Knot diagram … Wikipedia
Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more … Wikipedia
Linking number — In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three dimensional space. Intuitively, the linking number represents the number of times that each curve winds around the other. The… … Wikipedia
