ACFT TAXI ONTO CLOSED TXWY.

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AFTER LNDG AT JFK RWY 13L; EXITED R AT TXWY Y. GND INSTRUCTED US TO TURN R ONTO TXWY ZB. TXWY Y CONTINUES STRAIGHT AHEAD AND INTERSECTS F AT RWY 22R. THIS PORTION OF TXWY Y IS NOT DEPICTED ON THE JFK 20-9 CHART AND WHERE THE CONES ARE LOCATED. THE PORT AUTH CAME OUT AND HELPED US NEGOTIATE THE CONES; AND WE PROCEEDED TO TAXI TO THE GATE WITHOUT FURTHER INCIDENT. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: FLC DOESN'T RECALL EXACTLY IF THERE WERE ANY SIGNS GIVING THEM PROPER TAXI DIRECTIONS BUT CAN'T RECALL ANYTHING INDICATING EXACTLY WHERE THE TXWY WAS THEY WERE TO BE ON. IRONICALLY; THE NEWEST ARPT CHART FAILS TO GIVE PROPER INFO AS TO WHAT THEY MIGHT ENCOUNTER. FLC FELT 2 PROBS EXISTED. 1) NO EASILY VISIBLE TAXI SIGNS. 2) IMPROPER CHART OF JFK TXWYS. CAPT OF FLC FEELS HE MIGHT HAVE SLOWED HIS TAXI SPD TO HELP LOCATE PROPER TXWY TO BE ON DURING TAXI TO THE RAMP AREA. A CALL TO TWR REVEALED THAT THE TXWY HAS BEEN CLOSED FOR OVER A YR. THERE ARE FLASHING LIGHTS AND BARRICADES ACROSS THIS AREA MAKING IT OBVIOUS TO ANYONE TAXIING IN THE AREA THAT IT IS CLOSED. HAVE NOT HAD ANY PROBS WITH PLTS MISTAKING THE INTENT OF THE BARRIERS.