English

An invariant for open virtual strings

Geometric Topology 2007-05-23 v2

Abstract

Extended Alexander groups are used to define an invariant for open virtual strings. Examples of non-commuting open strings and a ribbon-concordance obstruction are given. An example is given of a slice virtual open string that is not ribbon. Definitions are extended to open n-strings.

Keywords

Cite

@article{arxiv.math/0409185,
  title  = {An invariant for open virtual strings},
  author = {Daniel S. Silver and Susan G. Williams},
  journal= {arXiv preprint arXiv:math/0409185},
  year   = {2007}
}

Comments

9 pages, 10 figures. Version 2 includes improvements to section 3. To appear in J. Knot Theory and its Ramifications