An apparatus for creating incisions in a human cornea comprises: a source of pulsed laser radiation; a scanner device for scanning the laser radiation; and a control computer for controlling the scanner device based on a control program, the control program containing instructions that, when executed by the computer, bring about the creation in the cornea of: a flap cut defining a corneal flap that is connected to surrounding corneal tissue through a hinge; and one or more auxiliary cuts in connection with the flap cut for removing gas generated during creation of the flap cut, the one or more auxiliary cuts defining a first channel extending from the flap cut to an anterior surface of the cornea and a reservoir located at least partially deeper within the cornea than the flap cut.