Does Outlook.com webapp (still called live mail, but that is not important) work even when the browser is not open? I mean let's say I close Chromium to play a game; yet I would like to be notified when I receive a new e-mail. Can webapps in general work this way? Of course when I want to read the mail, the browser will start.
But as far as I can tell, the notifier in the messaging menu works only when browser is running...