English

Twist Triviality of Canonical Seifert Surfaces

Geometric Topology 2015-02-27 v1

Abstract

We generalize the idea of unknotting knots to Seifert surfaces. We define an operation called ribbon twist which serves as the equivalent of a crossing change for knots. A Seifert surface is considered untwisted, the equivalent to unknotted, if it is isotopic to a standardly embedded n-fold punctured torus. A Seifert surface is said to be twist trivial if it can be untwisted by ribbon twists. We show that canonical Seifert surfaces are twist trivial.

Keywords

Cite

@article{arxiv.1502.07582,
  title  = {Twist Triviality of Canonical Seifert Surfaces},
  author = {Michael Pfeuti},
  journal= {arXiv preprint arXiv:1502.07582},
  year   = {2015}
}

Comments

19 pages, 42 figures