Agniva Roy

activity

20202026

collaborators

10 papers

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.GT2026

Decompositions and diagrams of symplectic surfaces in Weinstein domains

Román Aranda, Patricia Cahn, Agniva Roy +1

We introduce combinatorial and diagrammatic methods for representing properly embedded symplectic surfaces in 4-dimensional Weinstein domains. We show that positive ascending surfa…

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.GT2024

Spinal open books and symplectic fillings with exotic fibers

Hyunki Min, Agniva Roy, Luya Wang

Spinal open book decompositions provide a natural generalization of open book decompositions. We show that any minimal symplectic filling of a contact 3-manifold supported by a pla…

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.GT2023

Small symplectic caps and embeddings of homology balls in the complex projective plane

John B. Etnyre, Hyunki Min, Lisa Piccirillo +1

We present a handlebody construction of small symplectic caps, and hence of small closed symplectic 4-manifolds. We use this to construct handlebody descriptions of symplectic embe…

math.PR2023

Random clique complex process inside the critical window

Agniva Roy, D Yogeshwaran

We consider the random clique complex process - the process of clique complexes induced by the complete graph with i.i.d. Uniform edge weights. We investigate the evolution of the…

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…

math.GT2020

Symplectic fillings and cobordisms of lens spaces

John B. Etnyre, Agniva Roy

We complete the classification of symplectic fillings of tight contact structures on lens spaces. In particular, we show that any symplectic filling $X$ of a virtually overtwisted…