Cut one large pointed cabbage and two onions lengthwise into quarters. Roast the vegetables on a barbeque or in the grill pan until they have large black spots. Fill a soup pot with 2 l of water and add the cabbage, onions, kombu, shiitake, ponzu and the dashi broth. Bring to a boil. Cook gently for 30 minutes and then cool. Put the broth in the fridge overnight. Pour through a sieve with a fine cloth so that a clear broth remains. Boil over medium heat to half in ± 20 min. Season well with salt.
Line 4 coffee cups with plastic wrap, let them overhang. Pour 1 tsp olive oil into each cup and spread well. Tap a small egg over each cup and sprinkle with some salt and pepper. Fold the foil tightly and tie a kitchen string around it. Poach the bags for 5 min. in water at 90°Then put them in ice water to cool. Carefully cut the bag open: this is how the egg comes out whole.
Blanch the cabbage leaves in salted water. Tear the leaf into coarse triangles. Roast them under the oven grill and then add to the broth you serve in bowls with a poached egg in it and the cabbage leaves.