English

Crosscap Numbers of Two-component Links

Geometric Topology 2007-05-23 v1

Abstract

We define the crosscap number of a 2-component link as the minimum of the first Betti numbers of connected, non-orientable surfaces bounding the link. We discuss some properties of the crosscap numbers of 2-component links.

Keywords

Cite

@article{arxiv.math/0608418,
  title  = {Crosscap Numbers of Two-component Links},
  author = {Gengyu Zhang},
  journal= {arXiv preprint arXiv:math/0608418},
  year   = {2007}
}

Comments

15 pages, 10 figures