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