knot theory


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knot theory

[′nät ‚thē·ə·rē]
(mathematics)
The topological and algebraic study of knots emphasizing their classification and how one may be continuously deformed into another.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Knot Theory Ramifications, 19(11): 1449-1456, 2010.
Jones revolutionized knot theory by defining the Jones polynomial as a knot invariant via Von Neumann algebras [12].
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.
He was a professor of knot theory. He was lost in Euclidian space.
From 1993, in her mid-twenties, Ruth was an assistant professor, then professor, at the University of Michigan studying knot theory.
Fusion categories can have implications for string theory, quantum computation and knot theory.
He was awarded a $50,000 scholarship for his research that classifies certain fusion categories of mathematics, a recently discovered type of algebraic structure with applications to areas of theoretical physics, computer science and mathematics, such as string theory, quantum computation and knot theory.
His work, like Witten's, led to significant advances in knot theory. In the United States, Albert Michelson considered vortex theory so "grand" that "it ought to be true even if it is not." Hundreds of papers elaborated the theory.
Molecular biologists are faced with an unprecedented quantity of data as a result of new technologies requiring the use of advanced computational techniques from unfamiliar areas of mathematics such as computer science, knot theory, and graph theory, whereas proteomics requires combinatorial geometry, thermodynamics, and other areas of physics and chemistry.
"Knot theory, the description of knots, when you can manipulate one knot into another and when you can't, is a major branch of mathematics which has very strong connections with theoretical physics and the understanding of the universe.