Markus Nutivaara scored on a one-timer to make it 4-1 at 5:02, and Boone Jenner finished a 4-on-2 to extend the lead to 5-1 at 6:40.
Mike Green scored off a turnover by Blue Jackets defenseman David Savard to make it 5-2 at 8:05, and Cholowski cut it to 5-3 with a power-play goal at 17:43.
Mantha scored 39 seconds into the third period off a drop pass from Dylan Larkin to make it 5-4.
Dubois gave Columbus a 6-4 lead at 3:34. After Savard's initial shot got through Bernier, the puck was cleared off the goal line to Dubois, who scored top shelf. Blashill challenged for goaltender interference, but the call was upheld after a video review.
"That was really confusing," Dubois said. "[The referees] waved it off, and then they said it was a goal, and then they reviewed it (for goaltender interference) for a long time. When they said it was a good goal, we weren't sure which one they meant. We were congratulating Savard, and he was saying he thought it was mine."
Mantha pulled Detroit to within 6-5 at 17:48, but Seth Jones scored into an empty net at 18:29 to make it 7-5.
"Momentum means so much in this League, and we gave it away when we got down 3-0 in the first period, but then we had it back in the third," Blashill said. "We can't let them score that sixth goal, though. That took away everything."