素特征的交换S-代数及其在无向边数中的应用
Commutative S-algebras of prime characteristics and applications to unoriented bordism
摘要：
通过对素数p的S//p的实例研究，提出了具有素数特征的高度结构化的环谱的概念。这些环谱可以被实现为Thom谱，因此与其它Thom谱如无向有边谱MO有关。我们计算了S//p的Hochschild和André-Quillen不变量。在其他应用中，我们证明了S//p不是Eilenberg-Mac Lane谱HF_p上的交换代数，尽管相反的情况显然是正确的，并且MO不是S//2上的多项式代数。
英文摘要：
The notion of highly structured ring spectra of prime characteristic is made precise and is studied via the versal examples S//p for prime numbers p. These can be realized as Thom spectra, and therefore relate to other Thom spectra such as the unoriented bordism spectrum MO. We compute the Hochschild and André-Quillen invariants of the S//p. Among other applications, we show that S//p is not a commutative algebra over the Eilenberg-Mac Lane spectrum HF_p, although the converse is clearly true, and that MO is not a polynomial algebra over S//2.
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