First I want to say that I am a layperson, so I want intuitive answers.
So all the 3 fundamental forces in nature has a carrier particle except gravity. So we have hypothesized the existence of graviton. But I want to know that how does the concept of graviton relates to the concepts of general relativity which describes gravity as the curvature of space-time.
So here are the Questions:-
$(1)$ Are gravitons consistent with the concept of curvature of space-time?
$(2)$ If the answer to $(1)$ is 'yes' then how does it account for gravitational waves which described as wobbling of space-time?
And if the answer to $(1)$ is 'no' then how does gravitons relate to curvature of space-time?
$(3)$ Blackholes are defined as an extremely curved region of spacetime with a singularity or a ring-singularity in the middle. So how does gravitons explain blackholes and singularities?
(If this question is poorly framed then I am sorry, I cannot clarify more than this)