%0 Journal Article
%T Batalin-Vilkovisky coalgebra of string topology
%A Xiaojun Chen
%A Wee Liang Gan
%J Mathematics
%D 2008
%I arXiv
%X We show that the reduced Hochschild homology of a DG open Frobenius algebra has the natural structure of a Batalin-Vilkovisky coalgebra, and the reduced cyclic homology has the natural structure of a gravity coalgebra. This gives an algebraic model for a Batalin-Vilkovisky coalgebra structure on the reduced homology of the free loop space of a simply connected closed oriented manifold, and a gravity coalgebra structure on the reduced equivariant homology.
%U http://arxiv.org/abs/0804.4748v3