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DISTRIBUTIVE GROUPOIDS IN KNOT THEORY

Mathematics of the USSR-Sbornik, 1984
A sequence of new knot invariants is constructed by using the relationship between the theory of distributive groupoids and knot theory.Bibliography: 3 titles.
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Novikov homologies in Knot theory

Mathematical Notes, 1992
Let \(K\) be a knot in \(S^ 3\). To define Novikov homologies of the knot space \(M = S^ 3 - K\), one should take a closed 1-form \(\omega\) on \(M\) such that \(\omega\) can be lifted to the differential of a Morse function \(f:\widetilde M \to R\) where \(\widetilde{M}\) is an infinite cyclic covering of \(M\).
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Motivic knot theory

2023
Dans ce manuscrit, nous créons une théorie en géométrie algébrique par analogie avec la théorie des nœuds. Étant donné que cette nouvelle théorie s'appuie sur la théorie de l'homotopie motivique (plus précisément, sur la théorie de l'intersection quadratique), nous la nommons théorie motivique des nœuds.
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Knot Theory

Dialogue: A Journal of Mormon Thought, 2023
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Knot theory and statistical mechanics

International Journal of Modern Physics B, 1997
This paper gives a self-contained exposition of the basic structure of quantum link invariants as state summations for a vacuum-vacuum scattering amplitude. Models of Vaughan Jones are expressed in this context. A simple proof is given that an important subset of these invariants are built from Vassiliev invariants of finite type.
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Knot Theory.

The American Mathematical Monthly, 1995
Joan S. Birman, Charles Livingston
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Knot Theory

2004
Vassily Olegovich Manturov   +1 more
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Knot theory

Choice Reviews Online, 1994
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Knot theory

Nature Photonics, 2013
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