Abstract by Leslie Colton
Seifert Genus and Turaev Genus of Knots
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.