3 papers
math.SG2025
Properties of contact toric structures and concave boundaries of linear plumbings
Aleksandra Marinković, Jo Nelson, Ana Rechtman +3
We consider plumbings of symplectic disk bundles over spheres admitting concave contact boundary, with the goal of understanding the geometric properties of the boundary contact st…
math.GT2023
Torus knotted Reeb dynamics and the Calabi invariant
Jo Nelson, Morgan Weiler
We establish the existence of a secondary Reeb orbit set with quantitative action and linking bounds for any contact form on the standard tight three-sphere admitting the standard…
math.SG2020
Symplectic embeddings of four-dimensional polydisks into half integer ellipsoids
Leo Digiosia, Jo Nelson, Haoming Ning +2
We obtain new sharp obstructions to symplectic embeddings of four-dimensional polydisks into four-dimensional ellipsoids when and is a half-integ…