  We study the derived Hall algebra of the partially wrapped Fukaya category of
a surface. We give an explicit description of the Hall algebra for the disk
with m marked intervals and we give a conjectural description of the Hall
algebras of all surfaces with enough marked intervals. Then we use a
functoriality result to show that a graded version of the HOMFLY-PT skein
relation holds among certain arcs in the Hall algebras of general surfaces.
