  We consider the problem of an ideal polymer confined in a droplet. When the
droplet radius is smaller than the (unconfined) polymer radius of gyration, the
polymer entropy will depend on the droplet shape. We compute the resulting
surface free energy. Using parameters appropriate for polymers confined in
microemulsions, we find that the polymer and bending surface energies are
comparable for the lowest modes. Finally, we argue that chain self-avoidance
will decrease the strength of the polymer contribution to the surface energy.
