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Abstract Hodge decomposition and minimal models for cyclic algebras

Chuang, J. and Lazarev, A. (2009). Abstract Hodge decomposition and minimal models for cyclic algebras. Letters in Mathematical Physics, 89(1), pp. 33-49. doi: 10.1007/s11005-009-0314-7

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.

Publication Type: Article
Publisher Keywords: cyclic operad, cobar-construction, Hodge decomposition, minimal model, a-infinity algebra, HOMOTOPY ALGEBRAS, MANIFOLD, OPERADS
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/188
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