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Twist Triviality of Canonical Seifert Surfaces

Authors
  • Pfeuti, Michael
Type
Preprint
Publication Date
Feb 26, 2015
Submission Date
Feb 26, 2015
Identifiers
arXiv ID: 1502.07582
Source
arXiv
License
Yellow
External links

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.

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