N.Y. Public Authorities Law § 1203
2. Such agreement shall provide for payment by the city of: a. Capital costs for projects connected with such transit facilities included in the capital budget of the city for periods prior to December thirty-first, nineteen hundred fifty-three, except that the authority shall not require payment of, and the city shall not pay, capital costs of such projects without prior approval of the board of estimate. b. Liabilities of the city or the board of transportation for: