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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.
|Uncontrolled Keywords:||cyclic operad, cobar-construction, Hodge decomposition, minimal model, a-infinity algebra, HOMOTOPY ALGEBRAS, MANIFOLD, OPERADS|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||School of Engineering & Mathematical Sciences > Department of Mathematical Science|
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