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Abstract Hodge decomposition and minimal models for cyclic algebras

Research output: Contribution to journalJournal article

Published

Journal publication date2009
JournalLetters in Mathematical Physics
Journal number1
Volume89
Number of pages17
Pages33-49
Original languageEnglish

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.