Encomplexing the writhe
代数几何
2007-05-23 v1 几何拓扑
摘要
A detailed version of preprint "Self-linking number of a real algebraic link" by the same author, alg-geom/9410030. For a nonsingular real algebraic curve in 3-dimensional projective space or 3-sphere, a new integer-valued characteristic is introduced. It is invariant under rigid isotopy and multiplied by -1 under mirror reflections. In a sense, it is a Vassiliev invariant of degree 1 and a counterpart of a link diagram writhe. For a regular complete intersection this invariant vanishes, while for rational knots of degree d it takes all the values between -(d-1)(d-2)/2 and (d-1)(d-2)/2.
引用
@article{arxiv.math/0005162,
title = {Encomplexing the writhe},
author = {Oleg Viro},
journal= {arXiv preprint arXiv:math/0005162},
year = {2007}
}
备注
17 pages, 4 figures, will appear in the Rokhlin memorial AMS volume