4 papers
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…
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…
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…
Fractional Differential Equations with Periodic Boundary Conditions of Constant Ratio
Anwarrud Din, Shah Faisal
This article is concerned with the existence and uniqueness of solutions to some fractional order boundary value problems. Our results are based on some fixed point theorems. For t…