Regarding the new Angular1 Router (for 1.5), there is an issue when defining the root component with a path like path: '/...' or path: '...'. I have taken the sample application to illustrate the issue:
http://plnkr.co/edit/FVZZwxAjlOmxQ8uA9YLF?p=preview

Click on "Heroes", and then hover over the list. You will see paths like xxxxxx//10 instead of xxxxxx/10.

The only difference compared to the sample application is the line 20 in app.js.