Instructions

1. 1
   Spread the softened butter thickly over the bottom of a heavy, oven-safe 9-inch skillet or Tarte Tatin pan.
2. 2
   Sprinkle the granulated sugar evenly over the butter . Pack the apple quarters tightly into the skillet, standing them up on their sides in concentric circles.
3. 3
   They will shrink as they cook, so crowd them together as much as possible.
4. 4
   Place the skillet over medium heat on the stovetop.
5. 5
   Cook un-stirred for 20 to 25 minutes, allowing the butter and sugar to bubble and transform into a rich, amber-colored caramel liquid.
6. 6
   Remove the skillet from the heat and let it cool for 10 minutes.
7. 7
   Preheat your oven to 400°F (200°C).
8. 8
   Drape the circle of puff pastry carefully over the top of the caramelized apples, tucking the excess edges down inside the rim of the skillet.
9. 9
   Bake for 25 to 30 minutes until the pastry is crisp and deeply golden.
10. 10
    Let cool for 5 minutes, then place a large serving plate over the skillet and confidently invert it to release the tart.