Gachiakuta 2 by Kei Urana

From Kodansha Comics

In this hit gritty action manga, a young boy is framed for murder and cast off the edge of a floating city into the abyss, where he grapples with the monsters that the elite high above would rather forget. The more the rich glitter, the higher the price paid by the poor...

With an anime adaptation from the studio behind Mob Psycho 100 and the writer behind Attack on Titan and Vinland Saga, Gachiakuta is the dystopian epic critics are calling "the next big shonen series!"

After being falsely accused of murdering the man who raised him, Rudo was dropped into the Pit, where horrible monsters called trash beasts roam and the very air is toxic. But there are people known as Givers who have the power to defeat these beasts and Rudo is one of them. If Rudo wants to have any hope of discovering a way back to his home and finding the true killer, he must first navigate this new world. The first step is joining an organization of trash beast exterminators called "The Cleaners," whose boss might just have information Rudo needs...