Fluorescent conjugates suitable for use in flow cytometry and other biological applications. The fluorescent conjugates comprise an antibody having a polymeric dye bound thereto. The polymeric dye is preferably enhanced by a hydrophobic and conformationally restrictive moiety either bound thereto or in close association therewith. The hydrophobic and conformationally restrictive moiety is preferably derived from a cyclodextrin. The polymeric dye comprises a polymeric entity having signal-generating groups, such as aminostyryl pyridinium dye residues attached thereto. The fluorescent conjugates exhibit exceptional stability characteristics and avoid many of the problems of energy transfer, bio-conjugability, and solubility.