jQuery Mobile (http://jquerymobile.com/download/)

 $("#carousel-generic").swipeleft(function() {

  $(this).carousel('next');

 });

 $("#carousel-generic").swiperight(function() {

  $(this).carousel('prev');

 });

TouchSwipe jQuery plugin (https://github.com/mattbryson/TouchSwipe-Jquery-Plugin)

 $("#carousel-generic").swipe({

  swipeLeft: function() { $(this).carousel('next'); },

  swipeRight: function() { $(this).carousel('prev'); },

 });

hammer.js (http://eightmedia.github.io/hammer.js/) +

jquery.hammer.js (https://github.com/EightMedia/jquery.hammer.js)

 $('#carousel-generic').hammer().on('swipeleft', function(){

  $(this).carousel('next');

 });

 $('#carousel-generic').hammer().on('swiperight', function(){

  $(this).carousel('prev');

 });

var carousel = new Hammer(document.getElementById("carousel"));

            carousel.on('swipeleft', function(){

                $(this).carousel('next');

            });

            carousel.on('swiperight', function(){

                $(this).carousel('prev');

            });