Since LayerSlider WP 3.0, you have an option to deep-link slides. This means that
you can give a special URL to users that will start LayerSlider with the desired
slide. To do that, you have to specify a deeplink name in your Slide Options
and use it as a reference in the URL.
For example if you added the name for the deeplink field "surprise", you can reference this slide with the URL "yourdomain.com/yourpage/#surprise".