标题： G-流形的边界同构 显示英文标题

标题： Cobordism of G-manifolds

摘要： 我们综述了等变余痕领域的一些结果。 特别是，我们使用等变稳定同伦理论的方法来计算无定向的$C_2$等变余痕环$\Omega^{C_2}_*$，该环最初是由 Alexander 使用其他方法计算的。 我们的证明方法可以很好地推广到其他情形，例如等变复余痕，并提供了对 Alexander 计算的正式群理论解释。 显示英文摘要

摘要： We survey some results in the field of equivariant cobordism. In particular, we use methods from equivariant stable homotopy theory to calculate the unoriented $C_2$-equivariant bordism ring $\Omega^{C_2}_*$, which was originally calculated by Alexander using other methods. Our proof method generalizes well to other settings, such as equivariant complex cobordism, and affords a formal group theoretic interpretation of Alexander's calculation.