This document discusses different methods for ligating DNA fragments with vectors, including DNA ligase, homopolymer tailing, linkers, and adaptors. It provides details on how each method works, such as using DNA ligase to join complementary cohesive ends, adding homopolymeric tails to fragments using terminal deoxynucleotidyl transferase, and how linkers and adaptors can be used to generate sticky ends for ligation. The basic difference between linkers and adaptors is that linkers have blunt ends while adaptors have cohesive ends.