  The fine curve graph was introduced as a geometric tool to study the
homeomorphisms of surfaces. In this paper we study the Gromov boundary of this
space and the local topology near points associated with minimal measurable
foliations. We then give several applications including finding explicit
elements with positive stable commutator length, and proving a Tits alternative
for subgroups of $\textrm{Homeo}(S)$ containing a pseudo-Anosov map,
generalizing a result of Hurtado-Xue.
