BYU

Abstract by Cory Glover

Personal Infomation


Presenter's Name

Cory Glover

Degree Level

Undergraduate

Co-Authors

Leslie Colton
Samantha Sandberg

Abstract Infomation


Department

Mathematics

Faculty Advisor

Mark Hughes

Title

Representing Knot Types By Elements of a Symmetric Group

Abstract

Petal projections are defined as a special class of knot projection with a single multi-crossing (called an uber-crossing), which causes the formation of loops entering and exiting the crossing.  Petal projections can be described by elements in a symmetric group, called petal words, which describe the permutation of the strands as they pass through the uber-crossing. In this talk, I will discuss the symmetric group action on the set of petal words, and define a complete set of moves which is sufficient to relate any two petal words which represent the same knot type.