Transferring homotopy commutative algebraic structures
Algebraic Topology
2018-01-16 v2
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.
Keywords
Cite
@article{arxiv.math/0610912,
title = {Transferring homotopy commutative algebraic structures},
author = {Xue Zhi Cheng and Ezra Getzler},
journal= {arXiv preprint arXiv:math/0610912},
year = {2018}
}
Comments
14 pages