@article {bogluk, title = {Stable vector bundles on the families of curves}, year = {2020}, abstract = {We offer a new approach to proving the Chen-Donaldson-Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a families of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.}, author = {Fedor Bogomolov and Elena Lukzen} }