Virtual strings
Geometric Topology
2007-05-23 v1 Algebraic Topology
Abstract
A virtual string is a scheme of self-intersections of a closed curve on a surface. We introduce virtual strings and study their geometric properties and homotopy invariants. We also discuss connections between virtual strings, Gauss words, and virtual knots.
Cite
@article{arxiv.math/0310218,
title = {Virtual strings},
author = {Vladimir Turaev},
journal= {arXiv preprint arXiv:math/0310218},
year = {2007}
}
Comments
30 pages, 1 figure