https://www.w3.org/TR/touch-events/
someElement.addEventListener('touchstart', process_touchstart, false);
someElement.addEventListener('touchmove', process_touchmove, false);
someElement.addEventListener('touchcancel', process_touchcancel, false);
someElement.addEventListener('touchend', process_touchend, false);
Поддержка браузерами:
http://caniuse.com/#feat=touch