  The lubricated motion of an object near a deformable boundary presents
striking subtleties arising from the coupling between the elasticity of the
boundary and lubricated flow, including but not limited to the emergence of a
lift force acting on the object despite the zero Reynolds number. In this
study, we characterize the hydrodynamic forces and torques felt by a sphere
translating in close proximity to a fluid interface, separating the viscous
medium of the sphere's motion from an infinitely-more-viscous medium. We employ
lubrication theory and perform a perturbation analysis in capillary compliance.
The dominant response of the interface owing to surface tension results in a
long-ranged interface deformation, which leads to a modification of the forces
and torques with respect to the rigid reference case, that we characterise in
details with scaling arguments and numerical integrations.
