N.Y. Gen. Bus. Law § 209-g

§ 209-g. Notice of abandonment. The proprietor of a name registered as\nprovided in this article, may file a written notice of abandonment\nthereof, subscribed and acknowledged by such proprietor in each public\noffice in which the name is registered, and thereupon all rights of the\nsubscriber of such notice acquired by the registration of such name\npursuant to this article shall be extinguished, and the provisions\nthereof which prohibit the use of the same or a similar name shall no\nlonger apply.\n