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.
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].
Jane's and my euphoria had a small setback when we found that the objects we were counting were just a little different-looking from a long-known example of Fibonacci numbers, but we were still quite happy that the sequence had occurred unexpectedly within the context of 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.
Fox, Introduction to knot theory, Springer Verlag, New York, NY (1963).
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.
Quantum physics is very closely related to knot theory.
That wood indeed lends itself for the technical exploration of knotting is revealed by the American artist Brent Collins whose work visualises a rather unusual explicit application of knot theory to wood (Plate 3).
Knot Theory and Its Applications: ICTS Program on Knot Theory and Its Applications
ABSTRACT Because of interesting and useful geometric as well as topological properties, alternating knots (links) were regarded to have an important role in knot theory and 3-manifold theory.