Combine the ground turkey, soy sauce, minced garlic, and ground cumin, stirring just until combined. Then, gently form the ground turkey into 4 patties. Season each patty with salt and pepper.
Grill the patties over medium-high heat until cooked through, about 5 minutes per side.
Spread mayonnaise onto the toasted buns and then place a patty on each bun. Top the patties with lettuce, cilantro, red onion, cucumber, and jalapeños, to taste.