From this section you can take a look at all your Battles. The list will show you a summary their status.
In the details of each Battle you will be able to see which opponent you are facing, when the battle ends or the points you you have obtained.
If the battle hasn't started yet (it's in the Open state) and there's no opponent yet, you can leave the battle. Quitting will delete the Battle and you will not get back the points you used to create it.