English

Self-linking number of a real algebraic link

alg-geom 2008-02-03 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.alg-geom/9410030,
  title  = {Self-linking number of a real algebraic link},
  author = {Oleg Viro},
  journal= {arXiv preprint arXiv:alg-geom/9410030},
  year   = {2008}
}

Comments

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