Notes on Kontsevich-Soibelman's Theorem about Cyclic A(infinity)-algebras

作者：Cho Cheol Hyun^*; Lee Sangwook

来源：International Mathematics Research Notices, 2011, (14): 3095-3140.

DOI：10.1093/imrn/rnq191

Kontsevich and Soibelman have proved a relation between a nondegenerate cyclic homology element of an A(infinity)-algebra A and its cyclic inner products on the minimal model of A. We find an explicit formula of this correspondence, in terms of the strong homotopy inner products and negative cyclic cohomology of A. We prove that an equivalence class of the induced strong homotopy inner product depends only on the given negative cyclic cohomology class. Also, we extend such a correspondence to the case of gapped filtered A(infinity)-algebras.

• 出版日期2011