3 papers
math.SG2025
Stabilized symplectic embeddings of higher-dimensional ellipsoids
Shah Faisal
We provide a lower bound for the embedding capacity of higher-dimensional symplectic ellipsoids, formulated in terms of the Lagrangian capacity of ellipsoids. Our approach relies o…
math.AG2025
Higher-rank instantons sheaves on Fano threefolds
Gaia Comaschi, Daniele Faenzi
We define instanton sheaves of higher rank on smooth Fano threefolds X of Picard rank one and show that their topological classification depends on two integers, namely the rank n…
math.SG2024
A proof of Gromov's non-squeezing theorem
Shah Faisal
The original proof of the Gromov's non-squeezing theorem [Gro85] is based on pseudo-holomorphic curves. The central ingredient is the compactness of the moduli space of pseudo-holo…