Abstract Hodge decomposition and minimal models for cyclic algebras

Chuang, Joseph and Lazarev, Andrey (2009) Abstract Hodge decomposition and minimal models for cyclic algebras. Letters in Mathematical Physics, 89 (1). pp. 33-49. ISSN 0377-9017

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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.

Item Type:

Journal Article

Journal or Publication Title:

Letters in Mathematical Physics

Uncontrolled Keywords:

/dk/atira/pure/core/keywords/mathsandstatistics/algebra

Subjects:

?? cyclic operadcobar-constructionhodge decompositionminimal modela-infinity algebraalgebramathematical physicsstatistical and nonlinear physicsqa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

59749

Deposited By:

ep_importer_pure

Deposited On:

31 Oct 2012 16:50

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Jul 2024 13:22

URI:

https://eprints.lancs.ac.uk/id/eprint/59749