Spicy Soba Noodles with Shiitakes and Cabbage

Name: Spicy Soba Noodles with Shiitakes and Cabbage
Ingredients: 1/3 cup water; 1/3 cup soy sauce; 2 to 3 teaspoons Korean hot-pepper paste (sometimes labeled gochujang); 1 tablespoon packed brown sugar; 3 tablespoons sesame seeds; 1/4 cup vegetable oil; 2 tablespoons finely chopped peeled ginger; 1 tablespoon finely chopped garlic; 10 oz fresh shiitake mushrooms, stemmed and thinly sliced; 1 1/4 pound Napa cabbage, thinly sliced (8 cups); 6 scallions, thinly sliced; 8 to 9 ounces soba (buckwheat noodles); 1 cup frozen shelled edamame