Le mathème du fantasme à l'adolescence

In Lacan's writing the matheme is a logical construction aiming to correspond to the bone structure of the subject. In what respect can the formalization of fantasy enlighten us as regards the adolescent “passage”? Is this passage from child neurosis to the adolescent period accompanied by a different positioning in fantasy? This is the assumption which will be illustrated and defended with clinical cases. Fantasy is logically constructed. The matheme unite and separate through the awl, the two sides of the subject: the “barred subject” and the “object a”. The recasting of fantasy at adolescence will consist in revisiting the three terms while gauging the worth of the link-break operation which is the awl.