N.Y. Pub. Auth. Law § 2040-K
Any public officer or employee selected by the authority may, with the consent of the municipality by which he or she has been employed, be transferred to the authority and shall be eligible for such transfer to the authority. The salary or compensation of any such officer or employee shall, after such transfer, be paid and fixed by the authority. Notwithstanding the provisions of this title any such officers or employees so transferred to the authority pursuant to the provisions of this section, who are members of or beneficiaries under any existing pension or retirement system, shall continue to have all rights, privileges, obligations and status with respect to such fund system or systems as are now prescribed by law, but during the period of their employment by the authority, all contributions to any pension or retirement system to be paid by the employer on account of such officers or employees, shall be paid by the authority.
N.Y. Pub. Auth. Law § 2040-K