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Transferring homotopy commutative algebraic structures

Xue Zhi Cheng·Ezra Getzler
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Abstract

We show that the sum over planar trees formula of Kontsevich and Soibelman transfers C-infinity structures along a contraction. Applying this result to a cosimplicial commutative algebra A^* over a field of characteristic zero, we exhibit a canonical unital C-infinity structure on Tot(A^*), which is unital if A^* is; in particular, we obtain a canonical C-infinity structure on the cochain complex of a simplicial set.

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Xue Zhi Cheng, Ezra Getzler. 2006-10-30. Transferring homotopy commutative algebraic structures. https://doi.org/10.1016/j.jpaa.2008.04.002

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