Unfortunately, the Twins aren't the Yankees, and they can't react to losing a playoff game to a dominant starting pitcher by simply stealing that pitcher away as soon as the season is over. But the Twins do have other choices.
The Royals are supposedly about to shop their all-world ace, and Buster Olney mentions the Twins as a possible suitor.
Hmm. The Twins need an ace starter badly, they can't afford Cliff Lee and Yu Darvish is staying in Japan. They wouldn't trade Aaron Hicks or their other top prospects for a half a year of Lee, but Greinke is signed for two more years at $27 million, which is a lot of money but only a few million more than the Twins would have to pay Carl Pavano.
As long as they don't trade Kyle Gibson, I'm all for it.