activity
20002023
most citedNew obstructions to symplectic embeddings

52 citations · 141 across the 28 of their papers we have counts for

collaborators

32 papers

math.SG2023★ 3 cited

On the agreement of symplectic capacities in high dimension

Dan Cristofaro-Gardiner, Richard Hind

A theorem of Gutt-Hutchings-Ramos asserts that all normalized symplectic capacities give the same value for monotone four-dimensional toric domains. We generalize this theorem to a…

math.SG2023

Boundaries of open symplectic manifolds and the failure of packing stability

Dan Cristofaro-Gardiner, Richard Hind

A finite volume symplectic manifold is said to have "packing stability" if the only obstruction to symplectically embedding sufficiently small balls is the volume obstruction. Pack…

math.DG2023

Almost complex blow-ups and positive closed -forms on -dimensional almost complex manifolds

Richard Hind, Tommaso Sferruzza, Adriano Tomassini

Let be a -dimensional almost complex manifold and let . We define the notion of almost complex blow-up of at . We prove the existence of almost compl…

math.SG2023★ 1 cited

On the Existence of Symplectic Barriers

Pazit Haim-Kislev, Richard Hind, Yaron Ostrover

In this note we establish the existence of a new type of rigidity of symplectic embeddings coming from obligatory intersections with symplectic planes. More precisely, we prove tha…

math.DG2021

Families of almost complex structures and transverse -forms

Richard Hind, Costantino Medori, Adriano Tomassini

An {\em almost p-Kähler manifold} is a triple , where is an almost complex manifold of real dimension and is a closed real tranverse -form on $(M,J…

math.SG2021★ 1 cited

Packing Lagrangian tori

Richard K. Hind, Ely Kerman

In this paper we consider the problem of packing a symplectic manifold with integral Lagrangian tori, that is Lagrangian tori whose area homomorphsims take only integer values. We…