Free loop space and homology
Free loop space and homology
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自由环空间和同调性
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
J. Loday
中科院分区：
文献类型：
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作者：
J. Loday
本文的目的是解释自由环空间的(上)同调与其奇异余链代数的Hochschild同调之间的关系。我们介绍了所有相关的技术工具，即单纯对象和循环对象，并给出了证明的各个步骤，这些证明分散在文献中。本文可以看作是J.D.S.Jones关于循环情形的“循环同调和等变同调”一文的补充。
The aim of this paper is to explain the relationship between the (co)homology of the free loop space and the Hochschild homology of its singular cochain algebra. We introduce all the relevant technical tools, namely simplicial and cyclic objects, and we provide the various steps of the proofs, which are scattered around in the literature. This paper can be seen as a companion to the paper "Cyclic homology and equivariant homology" by J.D.S. Jones dealing with the cyclic case.