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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