In the immunoglobulin structure, the "hinge region" joins the stem of the $Y$ to the arms. The hinge region can be cleaved by a specific enzyme to yield one $\mathrm{F}_{\mathrm{c}}$ fragment (the stem of the $\mathrm{Y}$ ) and two $\mathrm{F}_{\mathrm{ab}}$ fragments (the two arms). Which of these two kinds of fragments can interact with an antigen? Explain.