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.
Letters in Mathematical Physics
- Pub Date:
- July 2009
- Mathematics - Quantum Algebra;
- Mathematics - Algebraic Geometry;
- additional assumption added in Theorem 2.7