BYU

Abstract by Leslie Colton

Personal Infomation


Presenter's Name

Leslie Colton

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Mark Hughes

Title

Seifert Genus and Turaev Genus of Knots

Abstract

The Turaev genus is a property of a knot. The Seifert genus is a concept that is related to the Turaev genus through inequalities. The alternating decomposition of a knot diagram can tell us the Turaev genus of a link through a simple algorithm. Examining oriented tangles may help establish a stronger connection between the Seifert genus and the Turaev genus using alternating decompositions.