Agniva Roy

activity

20202026

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math.SG2026

Nearly Lefschetz fibrations, Stein structures, and regular Lagrangians

Joseph Breen, Agniva Roy, Luya Wang

We study Stein structures on nearly Lefschetz fibrations, with applications to symplectic and Lagrangian submanifolds in Weinstein domains. We prove that, up to Weinstein deformati…

math.SG2025

Regular Lagrangians in Lefschetz fibrations

Joseph Breen, Agniva Roy, Luya Wang

We characterize regularity of Lagrangian submanifolds in Weinstein Lefschetz fibrations, establishing a conjecture of Giroux and Pardon. Our main result is the Weinstein analogue o…

math.SG2025

Legendrian doubles, twist spuns, and clusters

James Hughes, Agniva Roy

Let $λ$ be a Legendrian link in standard contact $R^{3}$ , such that $L_{1}$ , $L_{2}$ are two exact fillings of $λ$ and $φ$ is a Legendrian loop of $λ$ . We study fillability and…

math.SG2024

Anchored symplectic embeddings

Michael Hutchings, Agniva Roy, Morgan Weiler +1

Given two four-dimensional symplectic manifolds, together with knots in their boundaries, we define an ``anchored symplectic embedding'' to be a symplectic embedding, together with…

math.SG2022

Constructions and Isotopies of High-Dimensional Legendrian Spheres

Agniva Roy

We explore the construction of Legendrian spheres in contact manifolds of any dimension. Two constructions involving open books work in any contact manifold, while one introduced b…