G= Z/2的横截障碍与等变边
Transversality Obstructions and Equivariant Bordism for G=Z/2
摘要:
本文计算了群${\bf Z/2}$的同伦等变配边,即$MO^{\bf Z/2}$,几何等变配边$Ω^{\bf Z/2}_*$,以及它们作为几何配边模的商.这个商是一个稳定的横截性障碍的模。在进行这些计算时,我们使用了作者在复杂环境中开发的技术。因为我们只在Z/2的真实环境中工作,所以这些技术大大简化了。
英文摘要:
In this paper we compute homotopical equivariant bordism for the group ${\bf Z/2}$, namely $MO^{\bf Z/2}$, geometric equivariant bordism $Ω^{\bf Z/2}_*$, and their quotient as modules over geometric bordism. This quotient is a module of stable transversality obstructions. In doing these computations, we use the techniques the author developed in the complex setting. Because we are working in the real setting only with Z/2, these techniques simplify greatly.
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