Sutures, or stitches, are the most commonly used method to fix a cut or wound. Other methods are skin adhesives or glue, Steri-Strips or butterfly bandages, or even leaving skin openings alone in some cases.
Suture care is similar, regardless of the type of suture.
If you develop any of the signs or symptoms of infection or have any of the other reasons to visit your doctor and your doctor cannot see you promptly (meaning that same day), you should go to the hospital's emergency department for examination and further treatment.
All lacerations will heal, even if left alone. Suturing simply allows a cut to heal more quickly and with a better cosmetic result.