S. V. Duzhin, Ya. G. Mostovoi, “A toy theory of Vassiliev invariants”, Mosc. Math. J., 2006, Volume 6, Number 1,Pages <nobr>85

This article is cited in 2 papers

A toy theory of Vassiliev invariants

S. V. Duzhin^a, Ya. G. Mostovoi^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^b National Autonomous University of Mexico, Institute of Mathematics

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.

MSC: 58K65, 57M27

Received: December 27, 2005

Language: English

DOI: 10.17323/1609-4514-2006-6-1-85-93