Self-linking number of a real algebraic link

1994/10/30 by Oleg Viro, Viro, Oleg
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9410030

7 pages, AMS-LaTeX with 6 pictures in the format of *.EPS files

arxiv created 1994/10/30 · arxiv updated 2009/11/30

Abstract

For a nonsingular real algebraic curve in the 3-dimensional projective space and sphere a new numeric characteristic is introduced. It takes integer values, is invariant under rigid isotopy, multiplied by -1 under mirror reflection. In a sense it is a Vassiliev invariant of degree 1 and a counter-part of a link diagram writhe.

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