It is available for free to read, Link: nature.com/articles/s41598-019-43183-w
Thank you for that link and this new thread. I stopped reading the thread you're pointing out to after seeing some nonsensical posts on Mongolian Horde ancestry in Polish people. Archeo-genetics is not that easy to understand as it seems to be for some crazy and haunted people on this forum. An excellent introductory book to all this archeo-populations genetics is David Reich's "Who We Are and How We Got Here
". He describes the succesive waves of migrations into Europe in a fascinating way, supporting this with the outline of genetics methodes like e.g. the Four Population Test which are crucial for establishing who is who and where they come from. Unfortunately though, he has drawn up his European story of ancient migrations to the Yamnaya culture plus the originating from it Corded Ware culture. But this is enough to know that most of modern Europeans' ancestry (excluding the modern-day Sardinans) originates from the Eurasian steppes (the Golden Horde is of course not included here, however, as it arrived much later to Europe and was there for a very short period). Thps book is currently available on Amazon at half price.
David W. Anthony's "The Horse, the Wheel and Language. How Bronze-Age Riders from the Eurasians Steppes Shaped the Modern World
" (2014) is more specific to the story of the ancient Europe, but since it was published much earlier (2007), it cannot contain the detailed archeo-genetic data which has been available only since 2012. I haven't read the book yet, but I know it concetrates mostly on the Proto-Indo-Europeans (Yamnaya and Corded Ware) arriving and settling in Europe.