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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J. Chuang is supported by an EPSRC advanced research fellowship. A. Lazarev is partially supported by an EPSRC research grant.
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Chuang, J., Lazarev, A. Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras. Lett Math Phys 89, 33–49 (2009). https://doi.org/10.1007/s11005-009-0314-7
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DOI: https://doi.org/10.1007/s11005-009-0314-7