Probably you want to continue to use apache, or nginx, or lighttpd. You'd set them up to serve all the static content and proxy a location to your starman app.There are *many* resources online for this but none I could find that seems authoritative or comprehensive. So, I'd recommend Googling around for proxy + {your server of choice here} + starman (or maybe Catalyst or plack or Dancer or Mojolicious). Starman is just the engine so any plack engine or backend critter will lead to documents that will be relevant.
Starman is actually (surprisingly) fast so you could use it to serve static content etc for a small-medium site (with appropriate hardware/RAM) if you wanted to. The dispatch comments already given apply of course.
