Boldy scored two power-play goals and had an assist, and Brock Faber had an NHL career-high three assists for the Wild.
Cole Sillinger had put the Blue Jackets ahead 3-2 at 14:15 of the third on the power play with his third goal of the game, tipping a shot by Adam Boqvist.
“Obviously the focus is to win hockey games and unfortunately, that didn't happen tonight,” Sillinger said. “I thought it was a good hockey game, back and forth. There's a lot of special teams on both sides. A lot of good looks, high energy. … It [stinks that] we couldn’t close it off there.”
Boqvist had two assists in his return after missing 13 games with a shoulder strain, and Tarasov made 33 saves for the Blue Jackets (13-19-9).
Sillinger gave Columbus a 1-0 lead at 8:09 of the first period off a backdoor pass to the crease by Jake Bean.
Boldy tied it 1-1 at 14:48, five seconds into the man-advantage. Joel Eriksson Ek won a face-off to Faber, who passed across to Boldy for a one-timer from above the right circle.
Sillinger put the Blue Jackets back in front 2-1 at 17 seconds of the second period after Kirill Marchenko stole the puck from Jake Middleton and fed Sillinger with a behind-the-back pass.
Boldy tied it 2-2 at 10:15 with a backhand in the crease.
“It's been like this all season,” Boqvist said. “When we have a lead, you’ve just got to be able to close that down. I think we're going to be a good hockey team.”