2 papers
math.GT2024
Tight contact structures on toroidal plumbed 3-manifolds
Tanushree Shah, Jonathan Simone
We consider tight contact structures on plumbed 3-manifolds with no bad vertices. We discuss how one can count the number of tight contact structures with zero Giroux torsion on su…
math.GT2024
Cubiquitous Lattices and Branched Covers bounding rational balls
Erica Choi, Nur Saglam, Jonathan Simone +2
Greene and Owens explore cubiquitous lattices as an obstruction to rational homology 3-spheres bounding rational homology 4-balls. The purpose of this article is to better understa…