knot theory


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knot theory

n.
The branch of mathematics that deals with topological properties of knots and related constructions.
Translations
solmuteoria
hnútafræði
knopentheorie
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References in periodicals archive ?
It describes the situation in differential topology and knot theory in codimension q = 3 at the time, KervaireAEs characterization of the fundamental group of a knot complement, Kervaire and LevineAEs work on knot modules, KervaireAEs construction of the osimple knotso classified by Levine, Kervaire and LevineAEs results on knot cobordism, and the application of higher-dimensional knot theory to singularities of complex hypersurfaces.
A previous body of sculptures took inspiration from knot theory, a branch of topology that studies mathematical properties such as intersection, continuity, and surface.
The situation is only exacerbated when a second bomb is located, this time at the home of Capstone's brother David, who had been working together with his sibling to sell the Knot Theory research to a pharmaceutical company.
An introduction to knot theory, volume 175 of Graduate Texts in Mathematics.
This graph invariant became popular because of its universal property that any multiplicative graph invariant with a deletion/contraction reduction must be an evaluation of it, and because of its applications in computer science, engineering, optimization, physics, biology, and knot theory.
His topics include from ideal magneto-hydrodynamics to string and knot theory, all about and around Woltjer's theorem, topologically massive gauge theories and the force-free fields, contact geometry and physics, and from contact geometry to contact topology.
Harrow also refers to knot theory, in which number 107 of 165 knots involves 10 crossings.
The formulation and motivations of the conjectures make direct contact with the Langlands program in number theory, various duality conjectures in string theory, algebraic combinatorics, knot theory and low dimensional topology and representation theory of quivers, finite groups and algebras of Lie type and Cherednik algebras.
I introduced her to some difficult, open questions that researchers had left behind as the frontiers of knot theory expanded.
In this work, the team designed holograms using knot theory - a branch of abstract mathematics inspired by knots that occur in shoelaces and rope.
Topologer Milnor collected 16 papers that had been originally published between the middle 1950s and the middle 1970s on knot theory, free actions on spheres, torsion, and three-dimensional manifolds.
From 1993, in her mid-twenties, Ruth was an assistant professor, then professor, at the University of Michigan studying knot theory.