Abstract Hodge decomposition and minimal models for cyclic algebras

Chuang, J. & 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 Science & Technology > Mathematics