Pominville's regulation-time goal was the 200th of his career.
But Pominville then faked Peters before putting a shot between his pads to win it for the Wild, who recorded their fourth victory in five games.
Justin Fontaine scored for Minnesota in regulation and Harding finished with 27 saves.
Jiri Tlusty and Ryan Murphy each scored in regulation for Carolina, which came into the contest with a two-game winning streak.
Peters made 28 stops.
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