Title: Finding Invariants from Petal Permutations
Abstract: Petal knot diagrams are projections of a knot consisting of a single multicrossing and no nested loops. Any knot projection can be changed to a petal projection through a stem diagram. Any two petal projections of the same knot type may be related to one another through a series of petal moves. In this talk I will discuss petal projections, petal permutation of a knot, and attempts to define knot invariants solely in terms of petal permutations. This is a work in progress.
Advisor: Mark Hughes