论文标题
$ e_n $ ring spectra和dyer-lashof操作
$E_n$ ring spectra and Dyer-Lashof operations
论文作者
论文摘要
这是一篇关于功率操作及其与高度结构环光谱的联系的说明性文章。特别是，我们讨论了染色器操作及其在迭代回路空间，$ e_n $ -Algebras和$ e_n $ ring Spectra的研究中的发展作用。我们将利用这些操作来表明结构化环光谱受到严重约束。我们还讨论了一些正在进行的研究方向。 这是为同义理论手册编写的章节的初步版本。
This is an expository article about power operations and their connection with the study of highly structured ring spectra. In particular, we discuss Dyer-Lashof operations and their evolving role in the study of iterated loop spaces, $E_n$-algebras, and $E_n$-ring spectra. We will make use of these operations to show that structured ring spectra are heavily constrained. We also discuss some ongoing directions for study. This is a preliminary version of a chapter written for the Handbook of Homotopy Theory.
