A lens injector includes a thin sheet-like lens glide member, mounted upon a tapered knife, that maintains a wedge-shaped opening in the cornea upon withdrawal of the knife. The lens is thereafter advanced under the cornea by a plunger in the injector that maintains the lens in place as the injector device is removed. A multiple point blade knife may simultaneously make a set of several small, connected incisions. The fact that each blade has only a limited depth means that the resulting wide incision can be created without the need to penetrate deeply into the cornea, as would be necessary with a single-point blade of the desired width. This is especially beneficial for creating Z-shaped incisions, which become self-sealing when internal pressure pushes the inner layer against the outer layer. This shortens the process significantly, which then results in less trauma to the eye and streamlines the entire procedure.