Both tractates demand for the core ritual work : either the sacrificial system’s atonement or the levirate marriage’s continuity of the deceased’s name.
The discussion on Keritot 6b page 78 likely delves into the specifics of these unintentional acts, exploring the boundaries of what constitutes an excision-level offense and how one atones for such actions. Understanding these concepts not only sheds light on the detailed nature of Jewish law but also on the compassionate approach towards unintentional wrongdoing, emphasizing atonement and return.
The Gemara itself says (Kiddushin 30b): “One should always divide his study into three — a third of Bible, a third of Mishnah, and a third of Talmud.” The “work” of connecting Keritot and Yevamot is exactly that: linking sacrificial law (Kodashim) with family law (Nashim) reveals the coherent logic of the Oral Torah.
The primary "work" or legal conclusion linking these two pages is the exclusionary ruling by Rabbi Shimon ben Yochai regarding ritual impurity. Yevamot 61a : This page features the famous statement:
view is not the consensus . The Chachamim (the majority of the Sages) argue against him. In their view, the corpses of all human beings transmit impurity under a roof equally, and the term Adam in Numbers applies to all of mankind. Keritot 6b | Sefaria Library
“Rav Papa said: One who performs a labor that is not necessary for its own intrinsic purpose is exempt from a sin offering, but forbidden to do so ab initio.”