17 relations: Algebra over a field, American Mathematical Society, Arf invariant of a knot, Immersion (mathematics), Inventiones Mathematicae, Joan Birman, Knot invariant, Knot theory, Kontsevich invariant, Link (knot theory), Link group, Maxim Kontsevich, Mutation (knot theory), Oleg Viro, Victor Anatolyevich Vassiliev, Willerton's fish, 3-manifold.
Algebra over a field
In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product.
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
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Arf invariant of a knot
In the mathematical field of knot theory, the Arf invariant of a knot, named after Cahit Arf, is a knot invariant obtained from a quadratic form associated to a Seifert surface.
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Immersion (mathematics)
In mathematics, an immersion is a differentiable function between differentiable manifolds whose derivative is everywhere injective.
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Inventiones Mathematicae
Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media.
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Joan Birman
Joan Sylvia Lyttle Birman (born May 30, 1927 in New York CityLarry Riddle. "", Biographies of Women Mathematicians, at Agnes Scott College) is an American mathematician, specializing in braid theory and knot theory.
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Knot invariant
In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots.
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Knot theory
In topology, knot theory is the study of mathematical knots.
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Kontsevich invariant
In the mathematical theory of knots, the Kontsevich invariant, also known as the Kontsevich integral of an oriented framed link, is a universal Vassiliev invariant in the sense that any coefficient of the Kontsevich invariant is of a finite type, and conversely any finite type invariant can be presented as a linear combination of such coefficients.
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Link (knot theory)
In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together.
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Link group
In knot theory, an area of mathematics, the link group of a link is an analog of the knot group of a knot.
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Maxim Kontsevich
Maxim Lvovich Kontsevich (Макси́м Льво́вич Конце́вич;; born 25 August 1964) is a Russian and French mathematician.
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Mutation (knot theory)
In the mathematical field of knot theory, a mutation is an operation on a knot that can produce different knots.
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Oleg Viro
Oleg Yanovich Viro (Олег Янович Виро) (b. 13 May 1948, Leningrad, USSR) is a Russian mathematician in the fields of topology and algebraic geometry, most notably real algebraic geometry, tropical geometry and knot theory.
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Victor Anatolyevich Vassiliev
Victor Anatolyevich Vassiliev or Vasilyev (Виктор Анатольевич Васильев; born April 10, 1956), is a Soviet and Russian mathematician.
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Willerton's fish
In knot theory, Willerton's fish is an unexplained relationship between the first two Vassiliev invariants of a knot.
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3-manifold
In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space.
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Goussarov-Vassiliev invariant, Vassiliev invariant, Vassiliev knot invariant, Vassiliev-Goussarov invariant.