On an Algebra Structure on the Hochschild Homology of Simply Connected Topological Space

• 来源期刊: 代数集刊（英文版）
• 关键词: semi-free resolution Hochschild homology free loop space coholomogy Eilenberg-Moore differential Tor strongly homotopy commutative algebra
• 年，卷（期）: 2019,（3）
• 页码范围: 425-436
• 页数: 12页
• 语种: 英文
• DOI: 10.1142/S1005386719000312

摘要

In this note,we use the pairing induced by the interchange map in conjunction with the strongly homotopy commutative algebra structure to define products on the Eilenberg-Moore differential Tor and give a simplified proof of an improved outcome of Jones's result due to Ndombol and Thomas.As a result,we establish an isomorphism of graded algebras between the Hochschild homology and the free loop space cohomology of a simply connected topological space.