isotopy invariant

См. также в других словарях:

• Isotopy of loops — Isotopy of quasigroups = Let (Q,cdot) and (P,circ) be quasigroups. A quasigroup homotopy from Q to P is a triple (α, β, γ) of maps from Q to P such that :alpha(x)circeta(y) = gamma(xcdot y),for all x , y in Q . A quasigroup homomorphism is just… …   Wikipedia

• 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. The equivalence is often given by ambient isotopy but can be given by homeomorphism. Some… …   Wikipedia

• Regular isotopy — In the mathematical subject of knot theory, a regular isotopy of a link diagram is the equivalence relation generated by using the 2nd and 3rd Reidemeister moves only. The notion of regular isotopy was introduced by Louis Kauffman (Kauffman 1990) …   Wikipedia

• Gromov–Witten invariant — In mathematics, specifically in symplectic topology and algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions in a given symplectic… …   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

• Thurston-Bennequin number — In knot theory, the Thurston Bennequin number, or Bennequin number, of a front diagram of a Legendrian knot is defined as the writhe of the diagram minus the number of right cusps. The maximum Thurston Bennequin number over all possible front… …   Wikipedia

• Writhe — In knot theory, the writhe is a property of an oriented link diagram. The writhe is the total number of positive crossings minus the total number of negative crossings .A direction is assigned to the link at a point in each component and this… …   Wikipedia

• Tricolorability — The tricolorability of a knot refers to the ability of a knot to be colored with three colors according to two rules. In the mathematical field of knot theory, tricolorability is an isotopy invariant, and hence can be used to distinguish between… …   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

• Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot …   Wikipedia