# Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras

@article{Chuang2009AbstractHD, title={Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras}, author={Joseph Chuang and Andrey Lazarev}, journal={Letters in Mathematical Physics}, year={2009}, volume={89}, pages={33-49} }

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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