We consider the open string sigma-model in the presence of a constant Neveu
-Schwarz B-field on the world-sheet that is topologically equivalent to a d
isk with n holes. First, we compute the cr-model partition function. Second
, we make a consistency check of ideas about the appearance of noncommutati
ve geometry within open strings. (C) 2000 Elsevier Science B.V. All rights
reserved.