动机E_{infinity}代数与动机dga
Motivic E_{infinity} algebras and the motivic dga
摘要：
本文定义了一个显式的E_{infinity} -结构，即链复形上的相干同伦结合和交换积，定义了（积分和模-1）motivic上同调和模-1平展上同调.我们还讨论了一些应用。此外，我们的结构表明，源的E_{\infinity} -结构的motivic复合物提供了由Suslin和Voevodsky定义的配对是不链理论的情况下，为拓扑空间的奇异上链复形。
英文摘要：
In this paper we define an explicit E_{infinity}-structure, i.e. a coherently homotopy associative and commutative product on chain complexes defining (integral and mod-l) motivic cohomology as well as mod -l étale cohomology. We also discuss several applications. In addition, our constructions show that the source of the E_{\infinity}-structure on the motivic complexes provided with the pairing defined by Suslin and Voevodsky is not chain-theoretic as is the case for the singular co-chain complexes for topological spaces.
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