Knot theory associated to overtwisted manifolds is less explored. There are two types of knots/links in an overtwisted manifold namely loose and non-loose. These knots are different than the knots in tight manifolds in many ways. In this talk, I'll start with an overview of these knots/links and discuss my recent results on classifying loose null-homologous links. Next, I'll talk about an invariant named support genus of knots and links and show that this invariant vanishes for loose links. I'll end with some interesting open questions and future work directions.
Meeting ID: 919 5753 2646