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Tensor products of cyclic A_infty algebras and their Kontsevich classes

SPEAKER: Junwu Tu

TITLE: Tensor products of cyclic A_infty algebras and their Kontsevich classes

ABSTRACT: In this talk we show that the tensor product of two cyclic A_infty algebras is again cyclic. Moreover the Kontsevich class of the tensor product algebra is the cup product of the Kontsevich classes. Thus asscociating a cyclic A_infty algebra to its Kontsevich class behave like a mysterous “Chern character” map from the “K-theory” of A-infinity algebras to the cohomology of moduli space of curves.