A branched polyester resin of the Formula wherein n and m represent randomly repeating segments, and the number of n and m segments in the polymer backbone are each of from about 10 to about 10,000; X is an alkylene group, an olefinic group, or an arylene; Y is an organic dioxy group or radical of I, II, or mixtures thereof; Z is an organic trioxy radical of III, IV, or mixtures thereof; and wherein R and R1 is a hydrogen atom or an alkyl group; G is an alkylene or arylene group, and a is 0 or 1.