Place turkey and jerk seasoning in a medium bowl, and stir to combine. Form into four patties.
Heat a grill pan or a grill to medium-high. Lightly brush with oil. Grill until cooked through, about 8 minutes per side on grill pan or 7 minutes per side on grill. If desired, place a slice of cheese on each burger for the last minute of cooking. Serve on toasted buns with sliced tomato, mango, and onion.