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slice knot

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  • Slice knot — A slice knot is a type of mathematical knot. It helps to remember that in knot theory, a knot means an embedded circle in the 3 sphere :S^3 = {mathbf{x}in mathbb{R}^4 mid |mathbf{x}|=1 } and that the 3 sphere can be thought of as the boundary of… …   Wikipedia

  • Slice — may refer to:Food*A portion of bread, cake, or meat that is cut flat and thin, cf. sliced bread *Slice (soft drink), a line of fruit flavored drinks *Vanilla slice, a dessert *Mr. Slice, the mascot of Papa John s pizza restaurantports*Backspin,… …   Wikipedia

  • Slice genus — In mathematics, the slice genus of a smooth knot K in S3 (sometimes called its Murasugi genus or 4 ball genus ) is the least integer g such that K is the boundary of a connected, orientable 2 manifold S of genus g embedded in the 4 ball D4… …   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

  • 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

  • Signature of a knot — The signature of a knot is a topological invariant in knot theory. It may be computed from the Seifert surface.Given a knot K in the 3 sphere, it has a Seifert surface S whose boundary is K . The Seifert form of S is the pairing phi : H 1(S) imes …   Wikipedia

  • Ribbon knot — In the mathematical area of knot theory, a ribbon knot is a knot which bounds a self intersecting disc with only ribbon singularities . This type of singularity is a self intersection along an arc; the preimage of this arc consists of two arcs in …   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

  • Alexander polynomial — In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander II discovered this, the first knot polynomial, in 1923. In 1969, John Conway showed a… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • Polynôme d'Alexander — En mathématiques, et plus précisément en théorie des nœuds, le polynôme d Alexander est un invariant de nœuds qui associe un polynôme à coefficients entiers à chaque type de nœud. C est le premier polynôme de nœud (en) découvert ; il l… …   Wikipédia en Français

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