Connect is a web based file store (Cloud) with a browser Flash based editor.
Connect does not have all the functionality of either MindManager Windows or Mac
MindManager Windows can interact with the Connect file store and edit the maps. Not all the elements of a map that MindManager can create will be visible or editable on Connect. MindManager Mac has just had this feature added.
You can use Connect with just a Connect license.
You will need both a MindManager license and a Connect license to use connect with the desktop application.