Heat oil in a large saucepan over and cook the chopped onion, stirring frequently for 3 minutes.
Add the garlic, ginger, and curry power & stir for 30 seconds
Add the carrots, cauliflower, and turnips and stir for another minute.
Add 2 cans of coconut milk and bring to a boil then reduce heat to simmer.
Cover and simmer 15-20 minutes or until vegetables are tender.
Add the turnip greens in handfuls if necessary, allowing each to wilt.
Optional: Stir in 1 1/2 tablespoons of sweetener to really bring the flavors out.
Season to taste with salt and black pepper. Serve over rice.