Authors: Adam Call, Parker Myers
Mentors: Mark Hughes
Insitution: Brigham Young University
Petal projections are defined as a special class of knot projection with a single multi-crossing, which causes the formation of loops entering and exiting the crossing. The relative height of the strands as they pass through the multi-crossing is always an odd-length permutation. Recent research has described the complete set of moves which is sufficient to relate any two permutations that describe the same knot. In this talk, we will discuss potential novel knot invariants arising from isotopy of knots and their petal projections.