Agniva Roy

collaborators

6 papers

math.SG2025

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.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.GT2025

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.GT2025

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.SG2025

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.SG2025

Legendrian doubles, twist spuns, and clusters

James Hughes, Agniva Roy

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