An application of semi-free resolutions

被引：1
|
作者：
Ndombol, Bitjong [1 ]
Tcheka, Calvin [2 ]
机构：
[1] Univ Yaounde I, POB 812, Yaounde, Cameroon
[2] Univ Dschang, POB 67, Dschang, Cameroon
来源：
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2018年 / 13卷 / 02期
关键词：
Semi-free resolution; Hochschild homology; Free loop space coholomogy; Differential Tor; LOOP SPACE; COHOMOLOGY; ALGEBRAS;
D O I：
10.1007/s40062-017-0185-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we use the notion of semi-free resolution to give a new proof of J. D. S. Jones' theorem (Invent Math 87:403-423, 1987) which establishes an isomorphism of graded vector spaces between the Hochschild homology and the cohomology of the free loop space of a topological space.
引用
收藏
页码：385 / 394
页数：10
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