fibered knot

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• Fibered knot — A knot or link Kin the 3 dimensional sphere S^3 is called fibered (sometimes spelled fibred) in case there is a 1 parameter family F t of Seifert surfaces for K, where the parameter t runs through the points of the unit circle S^1, such that if s …   Wikipedia

• List of knot theory topics — Knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician s knot differs in that the ends are joined together so that it cannot be undone. In precise mathematical… …   Wikipedia

• Figure-eight knot (mathematics) — In knot theory, a figure eight knot (also called Listing s knot) is the unique knot with a crossing number of four. This is the smallest possible crossing number except for the unknot and trefoil knot. Origin of name The name is given because… …   Wikipedia

• Trefoil knot — In knot theory, the trefoil knot is the simplest nontrivial knot. It can be obtained by joining the loose ends of an overhand knot. It can be described as a (2,3) torus knot, and is the closure of the 2 stranded braid σ1³. It is also the… …   Wikipedia

• Torus knot — In knot theory, a torus knot is a special kind of knot which lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of… …   Wikipedia

• List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… …   Wikipedia

• Milnor map — In mathematics, Milnor maps are named in honor of John Milnor, who introduced them to topology and algebraic geometry in his book Singular Points of Complex Hypersurfaces (Princeton University Press, 1968) and earlier lectures. The most studied… …   Wikipedia

• JSJ decomposition — In mathematics, the JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following theorem: Irreducible orientable closed (i.e., compact and without boundary) 3 manifolds have a unique (up to isotopy)… …   Wikipedia

• Berge conjecture — In the mathematical subject of knot theory, the Berge conjecture states that the only knots in the 3 sphere which admit lens space surgeries are Berge knots. The conjecture (and family of Berge knots) is named after John Berge. Progress on the… …   Wikipedia

• William Thurston — Infobox Scientist name = William Thurston birth date = birth date and age|1946|10|30 birth place = death date = death place = residence = citizenship = nationality = American ethnicity = field = mathematics work institutions = Cornell University …   Wikipedia

• 3-manifold — In mathematics, a 3 manifold is a 3 dimensional manifold. The topological, piecewise linear, and smooth categories are all equivalent in three dimensions, so little distinction is usually made in whether we are dealing with say, topological 3… …   Wikipedia