Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras

  title={Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras},
  author={Joseph Chuang and Andrey Lazarev},
  journal={Letters in Mathematical Physics},
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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