In this presentation, we will introduce a new knot invariant, the danceability index, which draws inspiration from the dynamic movement of dancers across a stage. We will examine the connections between this invariant and two other fundamental knot invariants: the braid index and the bridge index. Designed with an undergraduate audience in mind, this talk will offer a brief yet informative overview of the key concepts and foundational ideas within the field of knot theory.

https://arxiv.org/abs/2412.15367