Abstract Hodge decomposition and minimal models for cyclic algebras
Quantum Algebra
2023-09-07 v3 Algebraic Geometry
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.
Cite
@article{arxiv.0810.2393,
title = {Abstract Hodge decomposition and minimal models for cyclic algebras},
author = {Joseph Chuang and Andrey Lazarev},
journal= {arXiv preprint arXiv:0810.2393},
year = {2023}
}
Comments
First part of Example 2.9 removed. Thanks to Pavel Hajek for spotting a mistake in it