Preheat oven to 450 degrees F. Coat a 13" x 9" baking pan with cooking spray. In a food processor or blender, combine the peppers, onion, garlic, ginger, oil, vinegar, jerk seasoning, allspice, and salt. Process until very finely chopped.
Spread the jalapeno mixture on both sides of the chicken breasts. Place the chicken breasts, skinned side up, in the prepared baking pan and bake for 30 minutes.
Place the chicken on plates and scatter the mango on top. Sprinkle with cilantro.