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Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras

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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.

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Authors and Affiliations

  1. Centre for Mathematical Science, City University, London, EC1V 0HB, UK

    Joseph Chuang

  2. Department of Mathematics, University of Leicester, Leicester, LE1 7RH, UK

    Andrey Lazarev

Authors
  1. Joseph Chuang
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  2. Andrey Lazarev
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Correspondence to Andrey Lazarev.

Additional information

J. Chuang is supported by an EPSRC advanced research fellowship. A. Lazarev is partially supported by an EPSRC research grant.

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Chuang, J., Lazarev, A. Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras. Lett Math Phys 89, 33–49 (2009). https://doi.org/10.1007/s11005-009-0314-7

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  • DOI: https://doi.org/10.1007/s11005-009-0314-7

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