The only available forensics suggest that Aaron Kosminski was probably Jack the Ripper. While the shawl that Catherine Eddowes wore the night she was murdered has serious custody of evidence issues and the DNA results were not strongly robust, it certainly points to Kosminski. The evidence would never result in a criminal conviction but it is the strongest case yet against any known suspect. Kosminski was a strong suspect from the get-go and the Jack the Ripper murders stopped around the time that Kosminski was committed to a mental institution. He’s probably the guy.
Actually, there is no DNA study worthy of the name, and the shawl has no chain of custody, AND wasn't listed as among the victim's possession. It's just a way to blame the Polack.