Abstract Hodge Decomposition and Minimal Models for Cyclic Algebras
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:

Letters in Mathematical Physics
 Pub Date:
 July 2009
 DOI:
 10.1007/s1100500903147
 arXiv:
 arXiv:0810.2393
 Bibcode:
 2009LMaPh..89...33C
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Algebraic Geometry;
 18D50;
 57T30;
 81T18;
 16E45
 EPrint:
 additional assumption added in Theorem 2.7