The main muscles involved are the quads, glutes, and hamstrings. And then you got your core (abs, spinal erectors), hip flexors (although tight hip flexors can be counterproductive, so stretch them) and calves. And then muscles of your arms, hips. Pretty much every muscle in your body can help your jump.
But anyway, you should be focusing mainly on the main ones. Squats and deadlifts will be your best lifts to do, and then you can do some unilateral work like lunges and bulgarian split squats, and some posterior chain/hip extension/knee flexion work like glute ham raises, reverse hypers, 45 degree hypers, and Romanian deadlifts. Then you could work on the less important muscles. But mainly just focus on getting your squat and deadlift up.
Check out
verkfreak101.com