6 tablespoons unsalted butter divided
1/2 cup whole milk warmed but not over 116°F
2 1/4 teaspoons active dry yeast from 1 envelope yeast
3 1/2 cups all-purpose flour plus extra for rolling out
1/4 cup light or dark brown sugar packed
1/2 teaspoon ground cinnamon
1/4 teaspoon freshly grated nutmeg
1/8 teaspoon ground cardamom optional
1/4 teaspoon ground ginger
2/3 cup pumpkin puree canned or homemade
oil for coating rising bowl
3/4 cup light or dark brown sugar packed, for filling
1/4 cup granulated sugar for filling
1/8 teaspoon table salt for filling
2 teaspoons ground cinnamon for filling
4 ounces cream cheese softened, for glaze
2 tablespoons milk or buttermilk for glaze
2 cups powdered sugar sifted, for glaze
vanilla extract optional, for glaze