What does an Air Battle Manager do?
Air battle manager has the following duties:


Plan and execute theater air operations
Analyze national defense strategy
Develop and conduct flying and simulation exercises
Conduct, manage, evaluate and improve unit training and readiness
Create operational policies


Further information can be found at AirForce's website.

In USAirForce, there are seven categories of aeronautical ratings. They are:


Pilot
Navigator
Combat Systems Officer (CSO)
Air Battle Manager (ABM)
RPA Pilot
Observer
Flight Surgeon


For further reading about these ratings, read here.