Transferring homotopy commutative algebraic structures

Details Transferring homotopy commutative algebraic structures Transferring homotopy commutative algebraic structures

2006-10-30

arxiv.org/abs/math/0610912v2

Mathematics

Algebraic Topology

14 pages

Scientific paper

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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