论文标题
atiyah的类似物 - 奇数图的核心序列的精确序列
Analogues of the Atiyah--Wall exact sequences for cobordism groups of singular maps
论文作者
论文摘要
Rohlin，Dold，Wall和Atiyah的经典结果产生了两个确切的序列，这些序列连接了方向和无方向的（抽象）COBORDISM组$ω_n$和$ \ Mathfrak {n} _n $。在本文中，我们提出了与规定的奇异性相连的类似的精确序列，这些序列连接了定向和无定向的地图组。这给出了SZűCS提出的15岁问题的积极答案，即使在浸入式的情况下也产生了有趣的后果。
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.
