Officials said 35-year-old woman's right arm was severed at the bicep, above the elbow, just before 12:20 p.m.
Thursday near Fifth Avenue and 55th Street.
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Two fingers were also severed from her left hand.
The woman was taken to Bellevue Hospital for surgery. She is expected to survive but will likely lose her arm.
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Detectives are searching for her 35-year-old husband, who fled on foot.
The knife was recovered at the scene, and the investigation is ongoing.
Man allegedly chops off wife's arm in Brooklyn