HTML additions - rebuild DOM?

HTML additions - rebuild DOM?

I'm using the jquery html() function to rewrite a div with page links (1, 2, 3, etc.) The problem is that if I rewrite this div, the elements no longer fire in jquery.

When I outright print
<li><a href="#">1</a></li>
in the source code, jquery notices clicks on 'li a' ... once I have rewritten this div with generated html from within jQuery, these firings no longer function.

Is there a way to force a rescan of the dom? Or is there another solution? I haven't tried it yet but what about onclick? I would prefer not having to use this if possible because I have another more complicated use with the same issue.

Thanks a lot!