Abstract Hodge decomposition and minimal models for cyclic algebras

Details Abstract Hodge decomposition and minimal models for cyclic algebras Abstract Hodge decomposition and minimal models for cyclic algebras

2008-10-14

arxiv.org/abs/0810.2393v1

Mathematics

Quantum Algebra

Scientific paper

10.1007/s11005-009-0314-7

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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