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G. Budworth (1983)
The Knot Book
V. O. Manturov (2001)
Introduction to the Theory of Knots and their Invariants
K. Reidemeister (1948)
Knot Theory
V. Manturov (2000)
The bracket semigroup of knotsMathematical Notes, 67
V. Prasolov, A. Sossinsky (1996)
Knots, links, braids and 3-manifolds
In this paper, we introduce a way of encoding links (long links). This ways leads to a combinatorial representation of links by words in a given finite alphabet. We prove that the link semigroup is isomorphic to some algebraically defined semigroup with a simple system of relations. Thus, knot theory is represented as a bracket calculus: the link recognition problem is reduced to a recognition problem in this semigroup.
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 10, 2004
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