Cyclic \(A_\infty\)-algebras and cyclic homology (Q6042776)
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scientific article; zbMATH DE number 7681906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cyclic \(A_\infty\)-algebras and cyclic homology |
scientific article; zbMATH DE number 7681906 |
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Cyclic \(A_\infty\)-algebras and cyclic homology (English)
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4 May 2023
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In this paper, the author describes the complex computing the Hochschild homology of an \(H\)-unitary \(A_\infty\)-algebra \(A\). First, they review some basic results concerning pseudo-compact local dg-algebras and their Homology. Then, they rediscover previous results of Cho. They also prove the fact that Koszul duality establishes a bijection between \(d\)-Calabi Yau structures and inner product. This generalizes a result of van den Bergh.
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dg coalgebra
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dg algebra
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\(A_\infty\) algebra
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Calabi-Yau
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Koszul duality
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