Caramelized Apple Cheesecake With Spiced Creme Anglaise And Butterscotch Sauce

Grease a 10-inch springform pan with 1 teaspoon of the butter.

Combine the crumbs, 2 tablespoons of the sugar, and the melted butter in the bowl of a food processor and mix on low speed until well blended. Transfer to a greased 10-inch springform pan and press evenly around the bottom. Chill in the refrigerator for 1 hour.

Preheat the oven to 325 degrees F.

Combine the remaining 1/2 cup sugar and the water in a heavy, medium saucepan, and bring to a boil. Reduce the heat to medium and cook, stirring occasionally, until the sugar is dissolved. Continue cooking, swirling the pan occasionally, until the caramel is amber in color, 5 to 7 minutes. Add the remaining 4 tablespoons butter, stir, and cook over low heat until the butter is melted and evenly blended. Add the apples and stir to coat with the caramel. Cook, stirring, over medium heat until the apples are tender, about 5 minutes. Remove from the heat and let cool.

Combine the cream cheese and brown sugar in a large bowl and beat with an electric mixer until smooth. Add the eggs 1 at a time, beating well after each addition and scraping the sides of the bowl as necessary. Add the lemon juice, cinnamon, and nutmeg and mix well. Fold the apple-caramel mixture into the batter, and pour into the chilled pan. Bake, rotating the pan a quarter turn every 30 minutes, until golden brown and firm around the edges, but still slightly loose in the center, 1 hour and 20 minutes to 1 hour and 30 minutes.

Remove from the oven and cool for 2 hours. Cover the cheesecake and refrigerate for at least 4 hours, or overnight.