奇异映射的配边群的Atiyah-Wall exact sequences类
Analogues of the Atiyah--Wall exact sequences for cobordism groups of singular maps
摘要：
Rohlin，Dold，Wall和Atiyah的经典结果给出了连接有向和无向（抽象）配边群$Ω_n$和$\mathfrak{N}_n$的两个正合序列.本文给出了连接有向和无向的具有给定奇点的配边群的类正合列。这给出了积极的回答一个15岁的问题所提出的Szjorcs和有趣的后果，即使在案件的协边浸入。
英文摘要：
Classical results of Rohlin, Dold, Wall and Atiyah yield two exact sequences that connect the oriented and unoriented (abstract) cobordism groups $Ω_n$ and $\mathfrak{N}_n$. In this paper we present analogous exact sequences connecting the oriented and unoriented cobordism groups of maps with prescribed singularities. This gives positive answer to a fifteen-year-old question posed by Szűcs and has interesting consequences even in the case of cobordisms of immersions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
