Batalin-Vilkovisky coalgebra of string topology
Quantum Algebra
2009-03-14 v3 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0804.4748,
title = {Batalin-Vilkovisky coalgebra of string topology},
author = {Xiaojun Chen and Wee Liang Gan},
journal= {arXiv preprint arXiv:0804.4748},
year = {2009}
}