4 papers
Non-Simple knots in Contact 3-Manifolds
Ipsita Datta, Tanushree Shah
We present new families of examples of non-simple prime Legendrian and transversal knots in tight Lens spaces, which demonstrate that the botany of Legendrians in Lens space is ric…
Contact homology and higher dimensional closing lemmas
Julian Chaidez, Ipsita Datta, Rohil Prasad +1
We develop methods for studying the smooth closing lemma for Reeb flows in any dimension using contact homology. As an application, we prove a conjecture of Irie, stating that the…
Lagrangian Cobordisms between Enriched Knot Diagrams
Ipsita Datta
In this paper, we present new obstructions to the existence of Lagrangian cobordisms in that depend only on the enriched knot diagrams of the boundary knots or links…
A Polyfold proof of Gromov's Non-squeezing Theorem
Franziska Beckschulte, Ipsita Datta, Irene Seifert +2
We re-prove Gromov's non-squeezing theorem by applying Polyfold Theory to a simple Gromov-Witten moduli space. Thus we demonstrate how to utilize the work of Hofer-Wysocki-Zehnder…