N.Y. Criminal Procedure Law § 410.80
2. Transfer of powers. (a) Upon completion of transfer of probation as authorized pursuant to subdivision one, the probation department in the receiving jurisdiction shall assume all powers and duties of the probation department in the jurisdiction of the sentencing court. Upon completion of transfer, the appropriate court within the jurisdiction of the receiving probation department shall assume all powers and duties of the sentencing court and shall have sole jurisdiction in the case including jurisdiction over matters specified in article twenty-three of the correction law. Further, the sentencing court shall immediately forward its entire case record to the receiving court.