HTML5's notification API allows you to display notification on almost any platform through Firefox, Chrome or Safari (http://caniuse.com/notifications).
(e.g of demo of HTML5's notification)
So if you're ok with lunching your app inside a browser then just open it with your browser.
If you want a more native feel (no Browser's UI, Shortcut on desktop, Install/Uninstall, etc...) then I see three solutions :
- Open Web apps from Mozilla
- Web apps from Google (Chrome's Store)
- Export to packaged Native app through PhoneGap, Cordova, Node-Webkit, etc...
Using HTML5's API is a much better bet than Adobe Air concerning long term support. However you'd have to check how well HTML5's notification API is supported in the solutions I gave.
Also notice that Open Web Apps and Google's web app need respectively Firefox or Chrome to be installed. If you want everything packaged as an executable, you'd better try the 3rd solution.