Step 1

Bring a pot of salted water to a boil. Cook pasta until al dente, about 11 minutes. Drain, reserving 1/2 cup cooking liquid.

Step 2

Meanwhile, melt 2 tablespoons butter in a medium skillet over medium heat. Cook garlic until fragrant, about 1 minute. Stir in breadcrumbs. Season with 1/2 teaspoon salt and 1/4 teaspoon pepper. Cook, stirring, until breadcrumbs are golden brown, 4 to 5 minutes.

Step 3

Melt remaining 3 tablespoons butter in a large high-sided skillet over medium-high heat. Add cabbage, 1/2 teaspoon salt, and 1/4 teaspoon pepper. Toss to coat. Cook, stirring, until slightly wilted, 3 to 4 minutes. Add 1/2 cup water. Cook, covered, until tender, about 4 minutes. Uncover, and let any water in the skillet evaporate. Stir in cream. Cook until sauce is reduced and thick enough to coat cabbage, about 1 minute. Season with salt and pepper.

Step 4

Add pasta and reserved 1/2 cup cooking liquid to cabbage. Cook for 1 minute. Stir in cheese. Transfer to a platter. Sprinkle breadcrumb mixture over top, and garnish with more cheese.