Peel the garlic and press it through a garlic press. Grate cheese. Stir wine, lemon juice and cornflour until smooth. Put garlic and cheese in a pot. Add wine while stirring constantly and bring to the boil.
Season with kirsch, pepper and nutmeg. Clean broccoli and cauliflower, wash and divide into small florets. Peel, wash and cut carrots into small pieces. Steam vegetables for about 8 minutes in boiling salted water, drain.
Cut bread into cubes. Fry in hot fat until golden brown. Pour hot cheese mixture into 4 preheated bowls. Sprinkle with chives. Serve with bread and vegetables.