In Calisthenics the core is the heart of many elements. If we think it as if we were building a house, the foundations would be our core. To compare it with bodybuilding, where would be more effective to work on isolated abs exercises for styling purposes, in Calisthenics we want to link muscle groups together in order to perform static elements such as the front lever.
If we want to have a full control of our body in the Calisthenics exercises we need to have a very good control and strength in our core. Find below a list with calisthenics exercises for the core and abs, from static core exercises such as plank, to dynamic abs exercises such as leg raises.