City Research Online - Abstract Hodge decomposition and minimal models for cyclic algebras

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

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Creators:	Chuang, J. Lazarev, A.
Status:	Published
Refereed:	Yes
Journal or Publication Title:	Letters in Mathematical Physics
Publisher:	Springer Verlag
ISSN:	0377-9017
URI:	https://openaccess.city.ac.uk/id/eprint/188
Date available in CRO:	13 Sep 2011 13:13
Dates:	Date Event July 2009 UNSPECIFIED