A model for cyclic homology and algebraic $K$-theory of 1-connected topological spaces
A model for cyclic homology and algebraic $K$-theory of 1-connected topological spaces
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DOI：
10.4310/jdg/1214439821
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发表时间：
1985
影响因子：
2.5
通讯作者：
Micheline Vigué-Poirrier;D. Burghelea
中科院分区：
文献类型：
--
作者：
Micheline Vigué-Poirrier;D. Burghelea
在[2]和[5]中证明了系数在特征为零的域上的连通拓扑空间HC*（X\ k）的循环同调同构于H*（ES Xsi X '，k）在[1]中也证明了1-连通拓扑空间X的约化代数X-理论，张量为k，K* + i（X）Θ k，同构于约化循环同调HC*（X; k）。本文描述了ES X sι X s 1的Sullivan极小模型
It was proven in [2] and [5] that the cyclic homology of a connected topological space with coefficients in a field of characteristic zero k, HC*{X\ k), is isomorphic to H*(ES Xsi X ', k)\ it was also proven in [1] that the reduced algebraic X-theory of the 1-connected topological space X, tensored by k, K* + ι(X) Θ k, is isomorphic to the reduced cyclic homology HC*( X; k). In this paper we describe a Sullivan minimal model of ES X sι X s1