支撑代数与上同调比较定理
Brace algebras and the cohomology comparison theorem
摘要：
Gerstenhaber和Schack的上同调比较定理证明了一个代数的Hochschild复形与一个空间的奇异上链复形之间存在上链等价。我们表明，这个比较定理保持支撑代数结构。这个结果给出了最近的结果建立精细的拓扑结构的Hochschild上同调的结构原因，和一个简单的方法来获得它们从相应的性质的上链复形。
英文摘要：
The Gerstenhaber and Schack cohomology comparison theorem asserts that there is a cochain equivalence between the Hochschild complex of a certain algebra and the usual singular cochain complex of a space. We show that this comparison theorem preserves the brace algebra structures. This result gives a structural reason for the recent results establishing fine topological structures on the Hochschild cohomology, and a simple way to derive them from the corresponding properties of cochain complexes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
