You don`t have to setup variable, you can just set if it is moving in data-attribute
$youtubeSlider.find('a')
.on('mousedown', function (e) {
$(this).data('moving', false);
})
.on('mousemove', function (e) {
$(this).data('moving', true);
})
.on('mouseup', function (e) {
if (!$(this).data('moving')) {
// Open link
}
});