English

Seifert surfaces in open books, and a new coding algorithm for links

Geometric Topology 2014-02-26 v1

Abstract

We introduce a new standard form of a Seifert surface FF. In that standard form, FF is obtained by successively plumbing flat annuli to a disk DD, where the gluing regions are all in DD. We show that any link has a Seifert surface in the standard form, and thereby present a new way of coding a link. We present an algorithm to read the code directly from a braid presentation.

Cite

@article{arxiv.math/0511152,
  title  = {Seifert surfaces in open books, and a new coding algorithm for links},
  author = {Rei Furihata and Mikami Hirasawa and Tsuyoshi Kobayashi},
  journal= {arXiv preprint arXiv:math/0511152},
  year   = {2014}
}

Comments

10 pages