Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras

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.

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Bibliographic Details
Published in:Letters in mathematical physics 2009-07, Vol.89 (1), p.33-49
Main Authors: Chuang, Joseph, Lazarev, Andrey
Format: Article
Language:English
Subjects:
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Description
Summary: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.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-009-0314-7