The Home Fleet, also called the Imperial Centre Defence Fleet, was the Imperial Navy formation tasked with defending Coruscant and the rest of the system, the capital of the Galactic Empire. It saw little action until after the Emperor's death at the Battle of Endor, when the Coruscant civil war broke out in 4 ABY.
The last commander of the fleet formed a division of Navy personnel to fight on the surface of Coruscant as an infantry unit against the Rebel insurgents.