We usually put liq. nail on top of cabinet and then set top down and it glues to the top . If you dont want to diconnect Plbg. and do that maybe you can get some liq. nail and glue bblocks of wood to the top and screw them to cab.
You can certainly use construction glues (Liquid Nails) to stick your sink top to the cabinet, but a more solid mechanical connection is indicated. If you purchased a commercial sink/cabinet unit, it should be designed with mechanical connectors to hold the sink top onto the cabinet. Contact your supplier for the details.