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Moscow Mathematical Journal, 2006, Volume 6, Number 1, Pages 85–93
DOI: https://doi.org/10.17323/1609-4514-2006-6-1-85-93 (Mi mmj236) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A toy theory of Vassiliev invariants

S. V. Duzhina, Ya. G. Mostovoib

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b National Autonomous University of Mexico, Institute of Mathematics
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DOI: https://doi.org/10.17323/1609-4514-2006-6-1-85-93
Abstract: We set up a theory of finite type invariants for smooth hypersurfaces in $\mathbb R^n$. For $n=1,2,3$ these invariants admit a complete description: they form a polynomial algebra on one generator.
Key words and phrases: Vassiliev invariants, singularities, discriminant, embedded hypersurfaces.
Received: December 27, 2005
Bibliographic databases:
MSC: 58K65, 57M27
Language: English
Citation: S. V. Duzhin, Ya. G. Mostovoi, “A toy theory of Vassiliev invariants”, Mosc. Math. J., 6:1 (2006), 85–93
Citation in format AMSBIB
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\paper A~toy theory of Vassiliev invariants
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 1
\pages 85--93
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2265948}
\zmath{https://zbmath.org/?q=an:1137.57012}
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