Method for cutting a glass layer having a first surface a second surface. The method includes moving a first laser beam, which is generated by a pulsed laser, along a cutting line, where material modifications are produced in the interior of the glass layer between the first surface and the second surface; moving a second laser beam along the cutting line where the glass layer is heated by the laser radiation; and cooling the glass layer along the cutting line, where the glass layer breaks along the cutting line.