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/s11005-009-0314-7
- arXiv:
- arXiv:0810.2393
- Bibcode:
- 2009LMaPh..89...33C
- Keywords:
-
- Mathematics - Quantum Algebra;
- Mathematics - Algebraic Geometry;
- 18D50;
- 57T30;
- 81T18;
- 16E45
- E-Print:
- First part of Example 2.9 removed. Thanks to Pavel Hajek for spotting a mistake in it