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Exotic multiplications on periodic complex bordism
Journal of Topology ( IF 0.8 ) Pub Date : 2020-11-04 , DOI: 10.1112/topo.12169
Jeremy Hahn 1 , Allen Yuan 1
Affiliation  

Victor Snaith gave a construction of periodic complex bordism by inverting the Bott element in the suspension spectrum of B U . This presents an E structure on periodic complex bordism by different means than the usual Thom spectrum definition of the E ‐ring M U P . Here, we prove that these two E ‐rings are in fact different, though the underlying E 2 ‐rings are equivalent. Nonetheless, we prove that both rings E ‐orient K U 2 and other forms of K ‐theory.

中文翻译:

周期复杂bordism的奇异乘法

Victor Snaith通过反转B悬置谱中的Bott元素,给出了周期复杂bordism的构造。 ü 。这代表了 Ë 周期性复杂bordism的结构不同于通常的Thom频谱定义 Ë -环 中号 ü P 。在这里,我们证明这两个 Ë 环实际上是不同的,尽管底层 Ë 2 环是等效的。尽管如此,我们证明两个环 Ë -东方 ķ ü 2 和其他形式 ķ -理论。
更新日期:2020-11-04
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