Pasta With Chicken And Four Cheeses

• 2 chicken breasts (whole)
• 1 additional pecorino
• 1 garlic clove
• 1/2 bel paese (fresh grated)
• 1/2 pecorino (fresh grated)
• 1/4 ricotta
• 475 gr tomatoes (canned plum)
• 350 ml cream (heavy)
• 200 gr penne
• 120 gr gorgonzola