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arXiv · 0810.2393

Abstract Hodge decomposition and minimal models for cyclic algebras

Joseph Chuang·Andrey Lazarev
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Abstract

We show that an algebra over a cyclic operad supplied with an additional linear algebra datum called Hodge decomposition admits a minimal model whose structure maps are given in terms of summation over trees. This minimal model is unique up to homotopy.

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Joseph Chuang, Andrey Lazarev. 2023-09-06. Abstract Hodge decomposition and minimal models for cyclic algebras. https://doi.org/10.1007/s11005-009-0314-7

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