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1
In a large bowl, dissolve yeast in warm water. Add the eggnog, 1 tablespoon sugar, 3 teaspoons salt, nutmeg and 1-1/2 cups flour; mix well. Stir in enough remaining flour to form a stiff dough; beat 1 minute longer.
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2
Turn onto a floured surface; knead until smooth and elastic, about 6-8 minutes. Place in a greased bowl, turning once to grease the top. Cover and let rise in a warm place until doubled, about 1 hour.
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3
Punch dough down. Shape into 12 balls. Push thumb through centers to form a 1-1/2-in. hole. Stretch and shape dough to form an even ring. Place on parchment paper-lined
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4
. Cover and let rest for 30 minutes, then refrigerate overnight.
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5
Let stand at room temperature for 30 minutes; flatten bagels slightly. In a non-aluminum Dutch oven, bring water to a boil with the remaining sugar and salt. Drop bagels, one at a time, into water. Cook for 30 seconds; turn and cook 30 seconds longer. Remove with a slotted spoon; drain well on paper towels.
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6
Place 2 in. apart on greased
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7
. In a small bowl, combine egg white and water; brush over bagels. Combine the sugar, cinnamon and nutmeg; sprinkle over the tops.
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8
Bake at 425u00b0 for 10-14 minutes or until golden brown. Remove from pans to wire racks to cool completely.
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9
In a small bowl, combine the cream cheese, sugar, extract, cinnamon and nutmeg; serve with bagels.